1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.
C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?
D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.
Answers
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table above we can see that Anna makes more stuffing than Jason.
c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100[/tex]
We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)
For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100
D) The line pass through (10, 10) and (100, 40), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}[/tex]
Related Questions
Maggie buys a dress and a pair of shoes at The Home Store. Before adding the sales tax, she pays $48 for a dress that normally sells for $62 and she pays $34 for a pair of shoes that normally sells for $46. a) Before the sales tax, how much does Maggie save on her purchases by buying at the sale price? Show all work. b) To the nearest percent, what percent discount did Maggie get on her total purchase? Show all work. c) Including a 15% sales tax, what total amount will Maggie pay?
Answers
Answer:
a) $26
b) 24.07%
c) $94.3
Step-by-step explanation:
Given that:
Before tax:
Normal price of dress = $62
Discounted price of dress = $48
Normal price of a pair of shoes = $46
Discounted price of a pair of shoes = $34
a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = $26
b) Total percentage discount on total sales.
Total bill for original price = $62 + $46 = $108
Percentage discount can be found by the formula:
[tex]\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%[/tex]
c) Total amount paid if the sales tax is 15%.
Amount paid with tax = Amount after discount + 15% of amount after discount
Amount after discount = $48 + $34 = $82
15% of $82 = $18.29
Amount paid with sales tax = $82 + $12.3 = $94.3
CAN SOMEONE GIVE ME A SUPER SIMPLE ANSWER TO THIS!!??
How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?
Answers
Answer:
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Step-by-step explanation:
A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Julie has $1.50 in quarters. How many quarters does Julie have? A. 3 B. 6 C. 15 D. 30
Answers
Answer:
B. 6
hope this helps
Answer:
The answer is b
Step-by-step explanation:
BRAINLIEST
Which is the side length of AB to the nearest hundredth?
O A 7.83
OB 7.15
OC. 9.00
o D. 9.33
Answers
Answer:
A 7.83
Step-by-step explanation:
COS=adjacent(AC)÷hypotenuse (AD)
cos 40= 6÷AB
AB=6÷cos 40
AB=7.83
The burglar has been leaving behind the ladder he or she uses to climb into the houses' windows. With this evidence, you can find out from which store the burglar is purchasing the ladders. Store A only sells ladders that are between 25 feet and 30 feet tall. Store B only sells ladders that are between 20 feet and 28 feet tall.
Using the diagrams below, determine the length of the ladders and deduce where the burglar buys the ladders.
Answers
Answer
I think its store B
Step-by-step explanation:
Pwease Hewelp me Witch set only include intergers
Answers
Answer:
-3, -2, 2, 3
Step-by-step explanation:
It is the only choice that contains whole number.
Are you in the mood to save a life? if your answer is yes you are in the right place.
PLSSSSSSSSSSSSSSSSSSSSSSSS HELPPPP
Could a design be both translational and glide reflectional symmetry? Explain why or why not.
thank you
Answers
Answer:
i think ye
Step-by-step explanation:
because symmetry and wikepedia says yes
Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is rotated 90° counterclockwise about the origin, what are the coordinates of A'?
Answers
Answer:
A(5,2)
Step-by-step explanation:
A 90 degree rotation counterclockwise is
(x , y) -> (-y , x)
Therefore the coordinates of A changes from
A(2 , -5) to A(-(-5) , 2)
A(5,2)
The graphs below have the same shape What is the equation of the blue graph?
Answers
Step-by-step explanation:
C
Answer:
Guy above me is wrong, it's actually D! Hope this helps.
Step-by-step explanation:
4 thousands less than 1.895
Answers
Answer:
You mean thousandths?
It’s 1.891
Step-by-step explanation:
The thousandths place is the 3rd digit to the right of the decimal. 5-4=1
Answer:
1.891
Step-by-step explanation:
Look to picture for further explanation
Hope this helps :)
Four copies of the triangle shown are joined together, without gaps or overlaps, to make a parallelogram. measurements= 5cm, 13cm, 12cm What is the largest possible perimeter of the parallelogram?
Answers
Answer:
Highest Possible Perimeter = 52cm
Step-by-step explanation:
The triangle is not shown. But, the question can still be solved.
The given sides (5cm,12cm and 13cm) of the triangle shows that the triangle is a right angled triangle as proven below:.
[tex]13\² = 5\² + 12\²[/tex]
[tex]169 = 25 + 144[/tex]
[tex]169 = 169[/tex]
Having shown that;
The next step is to determine the highest possible value of the perimeter.
To get the highest possible perimeter;
The 4 triangles have to be joined at the 12cm and 5cm part of each triangle (see attachment).
From the attachment, the perimeter is then calculated as:
Perimeter = 13cm + 13cm + 13cm+ 13cm
Perimeter = 52 cm
Answer: 76
Step-by-step explanation:
6. How many sides has a regular poly- gon when each interior angle is 108°? 144°? 120°? 150°? 140°? 90°? 12870?
Answers
Answer:
there are 'n' sides of the regular polygon. Thus, the measure of the angle of the quad, are 36°, 12°, 108° and 144°. Thus, the required number of sides of the regular polygon is 5.
Step-by-step explanation:
help!!!!!
Suppose f(x) = x2. What is the graph of g(x) = f(3x)?
Answers
Answer:
we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
Step-by-step explanation:
Given
f(x) = x²g(x) = f(3x)so
g(x) = (3x)² = 9x²Thus, the graph of g(x) = 9x² is shown below.
From the graph, it is clear that at x = 0, y = 0
So, the y-intercept is at (0, 0).
Clearly
f(x) = x²g(x) = 9x²Note that the vertex of the graph also lies at (0, 0), because it is clear that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Since 9 > 0, it means g(x) = 9x² is vertically stretched by multiplying each of its y-coordinates by 9.
Therefore, we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
what is the value of y?
Answers
Answer:21
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
9 - y = 2y
Step 1: Add y to both sides
9 - y + y = 2y + y
9 = 3y
Step 2: Divide both sides by 3
9 / 3 = 3y / 3
3 = y
Answer: y = 3
Help please thank you!!!
Answers
Answer:
0.1. the first onw us correct by the way !!! edgenty SUCKSSS!
PLEASEEEE please please help me with thissss ill luv u forever!!
Answers
Answer:
Hello,I don't think anyone can help you as your question is not there only the subquestions are. Kindly post the main question for assistance.
Regards
If I have a 92,70,41 what's my average grade?
Answers
Answer: Around 67%
Step-by-step explanation:
92+70+41=203
203/3=67 2/3
Around 67%
Answer:
I think it's a 67.667
Step-by-step explanation:
1.Multiply each grade by the credits or weight attached to it
2. add all of the weighted grades together (or just the grades if there's no weighting)
3. divide the sum by the number of grades you added together
5x-8 3x+16
Find X
Answers are; 12, 43/2, 52, 4
Answers
Answer:
Step-by-step explanation:
Those angles are vertical angles, so their measure are equal, so we can set them equal to each other to solve this problem.
5x - 8 = 3x + 16
2x - 8 = 16
2x = 24
x = 24 / 2
x = 12
Find the slope of aline parallel to each given line
Answers
Answer:
Can I have the diagram?
Step-by-step explanation:
Write the numbers 0,1,2,3,4,5,6,7,8,9 in this order and insert + or - between them to get the result -3
Answers
Answer:
The order is ;
0+ 1 + 2-3+ 4 -5+6-7+ 8 - 9
Step-by-step explanation:
Here, we want to write the numbers in that order, inserting a subtraction or addition sign between them.
These are;
0+ 1 + 2-3+ 4 -5+6-7+ 8 - 9
i need this really quick please.
Answers
Answer:
7x-6
Step-by-step explanation:
5. Solve these equations.
a. N + 2.3 = -4.7
b .2N + 6.8 = -10.2
C. N=4= -2.7
Answers
Answer:
a. N + 2.3=-4.7
N= -4.7-2.3
N=. -7
b. 2N+6.8=-10.2
2N= -10.2-6.8
2N= -17
N= -17/2
c. N +4 = -2.7
N= -2.7-4
N = -6.7
The manager of a grocery store estimates that 74% of customers will make a purchase. Part A: How many customers should a cashier expect until he finds a customer that makes a purchase?
Part B: What is the probability that a cashier helps 3 customers until he finds the first person to make a purchase?
Answers
Answer:
a. The number of customers that should a cashier expected till to find a customer is 1.35
b. The probability for helping three customers is 0.013
Step-by-step explanation:
The computation is shown below:
A. The number of customers that should a cashier expected till to find a customer is as follows:
= 1 ÷ 0.74
= 1.35
b. The probability for helping three customers is
= (1 - 0.74)^3 × 0.74
= 0.013
So the same is to be considered and relevant
Peter and Angad win some money and share it in the ratio 4:1. Peter gets £28. How much did they win in total
Answers
Answer:
£35
Step-by-step explanation:
The ratio is 4:1.
Since we know that Peter gets £28, we can divide that 28 by 4 to get Angad's share:
28/4 = 7
This means Angad got £7.
Now we add these 2 amounts together to find the total:
£28 + £7 = £35
Therefore, they won a total of £35.
c) Abus drives for 3/2hours at an average speed of 56 mph.
How far does the bus drive?
Answers
can you do this please need it done by midnight
Answers
[tex]\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}[/tex]
Step-by-step explanation:In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.
And these two are co - interior angles . And sum of co - interior angles is 180°.
Hence , here
[tex]\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}[/tex]
Hence the value of x is 24°.[tex]\rule{200}2[/tex]
A road is 4 cm long on the map. Find the actual length of the road.
Answers
The distance between two cities is
75
k
m
s
.
Explanation:
As a road of
4
c
m
.
on road map indicates a road of length equal to
30
k
m
.
Each
c
m
.
on map indicates
30
4
=
7.5
k
m
s
.
Hence a distance of
10
c
m
.
between two cities on the map indicates
7.5
×
10
=
75
k
m
s
Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point Cis the center of the partial circle that forms one corner of the stained glass piece. 6 in C 1 1 10 in. 1 11 12 in which area is the closest to the area of the stained glass piece in square inches? Use 3.14 form π
Answers
Answer:
Its 184.26 I think sorry if it's wrong
Step-by-step explanation:
Im checking my answers for this question and im wondering if im correct or not
Answers
Answer and step-by-step explanation:
Checking what you've done, the first two images you've shown have the correct matching. But the last two are wrong. Reason being:
For the third mage, the table suggests that all the points are on the positive part of the y-axis, this means the curve should open upwards not downwards.
For the last image, the table suggests that the points are on the negative part of the y–axis except (0, 1). This means the curve should open downwards not upwards.
The table in the third image should match the graph in the last image and the table in the last image should match the graph in the third image.
Answer:
oh i had the same question so thanks to the guy who answered
Step-by-step explanation:
andrew needs to call his 8 baseball teammates to make plans for a party at the end of the season if each call takes 5 minutes how much time will he spend making the calls?
A. 1/3 hour
B.40/100 hour
C.2/3 hour
D.3/4 hour
Answers
Answer:
C
Step-by-step explanation:
8*5=40 minutes
There is a total of 60 minutes.
So:
40/60 = 4/6 = 2/3