The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?

Answers

Answer 1

The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5

Given the cost function :

y = 5.75 + 2.5(x - 2)

Expanding the function and expressing in slope intercept form:

y = 5.75 + 2.5x - 5

y = 2.5x + 2.75

Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.

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Related Questions

Show your solution follow the steps
need an answer, please need an answer, please.

Answers

Answer:

after calculating I got this answer.

hope this answer helps you dear...take care

if a=2,b=1 and c=1 than evalute ab+bc

Answers

Answer:

Step-by-step explanation:

2x1+1x1

Answer:3

Step-by-step explanation:

(2)(1)+(1)(1)

2+1

Find the slope between these two points:
(6, -12), (15, -3)

Answers

Answer:

The slope is 1

Step-by-step explanation:

Answer:

1+6/9

Step-by-step explanation:

-3-12,

6 -15

=-15/-9=1 and6/9

Heyyy help maybe????????????

Answers

Its 1 2/3 yards

Since 3 ft = 1 yard

How many phone numbers without area codes are possible? the first digit cannot be zero or one.

Answers

Ok guys, let me explain in a way you can understand.

let’s say there’s 7 blanks :

_ _ _ _ _ _ _

the first can’t be 0 or 1 so that means that it can be 2,3,4,5,6,7,8,9 which is 8 numbers

Now we have settle what the first digit can or can’t be, there are 6 numbers left.

Because there are no more restrictions for phone numbers that don’t work (first digit can’t be one or zero was the only restriction), the question then becomes : How many 6 digit numbers are possible (000000) can count , well we know that the biggest 6 digit number is 999999 and the smallest is 000000. That means there are 999999–000000+1 numbers between them inclusive. For those of you that are curious how I got the plus one, when you are counting the amount of numbers between let’s say a and b inclusive, the amount of numbers between them inclusive is |a-b| +1. Example : The amount of numbers between 2 and 13 inclusive is just |2–13|+1 which is 12. 2,3,4,5,6,7,8,9,10,11,12,13 is 12 numbers so |a-b|+1 works for the amount of numbers between a and b inclusive.

Anyways, back to the problem. 999999–000000+1 means there are 1000000 or 1 million possible 6 digit numbers. But that’s not the answer to the problem because each 1 of those 1 million 6 digit numbers needs a 7th digit which and be any number from 2–8 . This means that you need to multiply 1000000 by 8 to get 8 million possible phone numbers. If your wondering why I multiplied by 8, let’s say the number abcdef is one of the possible 6 digit numbers. If you add a 7th digit 2–9 to our number abcdef, then our number abcdef can be 2abcdef, 3abcdef, 4abcdef, 5abcdef, 6abcdef, 7abcdef, 8abcdef, 9abcdef.

Just a quick side note for any misconceptions, when I say the number abcdef, I don’t mean a times b times c times d times e times f, I mean a is the number in the hundred thousands place, b is the number in the 10 thousands place, c is the number in the thousands place, d is the number in the hundreds place, e is the number in the tens place, f is the number in the ones place.

Back to the problem, because there are 8 possible numbers for the 7th digit (AKA the first number in the phone number) you need to multiply the 1000000 different 6 numbers by 8 because each of those numbers has 8 variations.

In summary, there are 8*1000000 or 8 million different phone numbers whose digits aren’t 0 or 1

Please help, the question is in the photo

Answers

Answer:

38.3 miles per gallon

Step-by-step explanation:

if you divide the miles driven by the gallons used you get 38.3

689.4 / 18 = 38.3

1263.9 / 33 = 38.3

1570.3 / 41 = 38.3

!HELP 20 POINTS!! Which table represents exponential growth?

Answers

Answer: The second table represents exponential growth.

Step-by-step explanation:

The second tables Y values go up with the X values so it is exponentia. The first table the Y values rise and then fall with the X values so it is not exponentia. Hope this helps!

- 4. What is the roster form of the set K = {x/x are odd numbers from 2 to 8} ? A. H = {2, 4, 6, 8} C. H = {3, 4, 5, 6, 7} B. H = {3, 5, 7} D. H = {2,8} 1 2 3 ? Which method for theiva CIV & CLUJ -

Answers

Answer: H = {3, 5, 7}

Explanation:

We simply list any odd number that is between 2 and 8. The term "roster form" can be thought of as listing the roster of a sports team (eg: baseball). So instead of describing what the numbers look like, we list out the numbers themselves. Those numbers being 3, 5 and 7.

Something like {2,4,6,8} is ruled out because we're dealing with odd numbers only.

Find the radius of the circle.
3(x – 5)^2 + 3(y + 9)^2 = 48
(?,?)

Answers

Answer: radius = 4

Step-by-step explanation:

The equation of circle is [tex](x - h)^{2} +(y - k)^{2} =r^{2}[/tex]

So [tex]3((x-5)^{2}+ (y+9)^{2} )=48[/tex]

[tex](x-5)^{2}+(y+9)^{2}=16[/tex]

So [tex]r^{2} = 16[/tex]

[tex]r=4[/tex]

Please give me a brainliest answer

Water expands when it freezes. Ice is less dense than water so it floats.If the increase in volume is 4% what volume of water will make an iceberg of 12 700000 m^3?

Answers

Answer:

Volume of water would be 12,200,000 m^3

Step-by-step explanation:

hope that helps :D

what is the sum of 71/5 + 2 4/5 = N
A.9 5/5
B. 10
C. 10 5/5
D. 9 1/2

Answers

Answer:

Step-by-step explanation:

71/5 + 24/5 = N

Since the denominator is the same for both values, we can add them together.

71+24 / 5 = 95/5

We can prove this since 71/5 = 14.2 and 24/5 = 4.8

14.2 + 4.8 = 19

95/5 = 19

A truck can be rented from Company A for $100 a day plus $0.50 per mile. Company B charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company.

Answers

Answer:

18 miles

Step-by-step explanation:

Let

The number of miles = x .

According to Question ,

100 + 0.5(x) = 40 + 0.8(x) 100 + 0.5x = 40+ 0.8x 100 - 40 = 0.8x - 0.5x 60 = 0.3x x = 60/3 * 10 x = 18

Don’t answer on this or ur sus

Answers

>:)

heheheheheheheherhehehehreh

Need answer please !!

Answers

Answer:

Step-by-step explanation:

Least common denominator is 10

there are 10/10 portions in the whole circle

1/2 = 5/10

2/5 = 4/10

10/10 - 5/10 - 4/10 = 1/10

PLS HELP
Worth 20 Points
Easy
I will give brainilest

Answers

Answer:

x-axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

A stereo is marked down $75. If this is a 15% decrease, what was the original price for the stereo?

Answers

The original price was $500
First we find 15% of what is $75
15/100 x N =$75
n = $7500/15
n = $500

The prices of a 32-ounce
container of yogurt at three different grocery stores are
$4.49, $3.99, and $4.29, respectively. Find the average
price for the container of yogurt.

Answers

Answer:

9.77 i think

Step-by-step explanation:

add up all prices then subtract by three i think

Answer:

93 is the correct answer

The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.

What is the distance from Earth to the moon?

Answers

Answer:

vggyyrt5 gf t66t6

Step-by-step explanation:

yy dry t6t ty y yuri u fry uu huf yy875

If lineman works 9 1/2 hours a day on a certain job at $28.70 per hour, what is the pay for a day?

Answers

9.5 x 28.70 = 272.65

3 with an exponent -5

Answers

Answer:The answer would be 1/243

———————————————

In decimal form is would be: 0.00411522 . . .

Answer: 1/243

Step-by-step explanation:

3^-5= 1/(3^5) = 1/ (3*3*3*3*3) = 1/243

The cost to mail a first-class letter used to be $0.40 the first ounce. Each additional ounce costs $0.20. Fractions of an ounce are
rounded up to the next whole ounce. How much would it cost to mail a letter that weighs 3.7 ounces?
• $0.60
O $1.00
O $0.90
O $1.20

Answers

$1.00 because the first ounce is 0.40 then you have to times the other 3 ounce by 0.20 then u would have $1.00

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $69. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? The skier would have to go skiing nothing days. plz answer right and give more info on how u got the answer ty

Answers

Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.

29. Find the unit rate of Euros per dollar

30. how many Euros will he get for $125?

Answers

Step-by-step explanation:

answer for number 2 is 85 euros

.68 euros per usd

it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?

Answers

Answer:

2.5 hours

Step-by-step explanation:

→ Write the formula

Speed = Distance ÷ Time

→ Find the distance for 3 hours at a speed of 50 mph

Distance = Speed × Time ∴ 3 × 150 = 150

→ Now work out the time

150 ÷ 60 = 2.5 hours

if carl runs 4 laps in 18 minutes, how many laps can he run in 1 1/2 hours

Answers

Answer:

20 laps

Step-by-step explanation:

18 divide by 4 = 4.5

so 1 lap equals 4.5 minutes

and 1 and half hours is 90 minutes so 90 divide by 4.5 = 20 laps

He can run 20 laps.

90 minutes is 1 1/2 hours
We setup the equation to solve:

4/18=x/90

Solve for x by isolating and then cross multiply.

2/9=x/90

Cross multiply,

180=9x

Swap sides,

9x=180

Divide both sides by 9

X=20 :)

What is the area of a circle with a diameter of 10cm (used 3.14)

Answers

Answer:

78.5

Step-by-step explanation:

A=[tex]pie[/tex]r^2

A=3.14 times 5^2

A=3.14 times 25

A= 78.5

Jesus Loves You!!!

78.5 is the correct answer

8.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

A. y – 270 = 45x; $45

B. y = 45(x – 4); $180

C. y = 45(x – 4); $270

D. y – 270 = 45(x – 2) ; $450

Answers

Answer:

D. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

GradPoint answer

I got it correct on the quiz.

Was the HOA president right for doing so? What other factors could have contributed to both the rise in ice cream sales and murders? Is this an example of correlation or causation?

Answers

Answer:

No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.

Step-by-step explanation:

I wouldn't put exactly that because i put that on mine but here's an idea!

Hope this helps! <3

Have a nice day/night!

solve pls branliest!

Answers

Answer:

2004-(-185)=2189

-185+469=284

Step-by-step explanation:

I double checked them

Answer:

A. 3 is 1,819 feet lower than 5

B.284

Step-by-step explanation:

evaluate: 16^1/2 x 2^-3

Answers

Answer:

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]

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