A car traveled 180 miles at a constant rate.
Part 1. Complete the table to show the rate at which the car was traveling if it completed the same
distance in each number of hours.
travel time
(hours)
rate of travel (miles per
hour)
5
4.5
3
2.25
Part 2. In the scenario in question 4 write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if they traveled for t hours WILL GIVE 80 POINTS 

A Car Traveled 180 Miles At A Constant Rate.Part 1. Complete The Table To Show The Rate At Which The

Answers

Answer 1

Answer/Step-by-step explanation:

A. Distance travelled at constant rate = 180 miles

Rate of travel (r) = distance travelled (d) /time (t)

Travel time (hrs) ==> rate of travel (miles/hr)

5 ==> 180/5 = 36

4.5 ==> 180/4.5 = 40

3 ==> 180/3 = 60

2.25 ==> 180/2.25 = 80

B. t = time travelled in hrs,

r = rate (miles/hr)

d = distance travelled = 180

Therefore, rate travelled for t hours would be:

[tex] r = \frac{180}{t} [/tex]

Answer 2

The rate of travel gives the average speed the car will be going if it covers

the 180 miles in different times

Part 1. The table showing the rate at which the car was going is presented as follows;

[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]

Part 2. To  make it easy to find the rate of travel, the following equation may be uses;

 [tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

Reasons:

Part 1.

The given distance travelled by the car = 180 miles

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Therefore, we have;

[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]

Part 2.

The equation that would simplify the finding of the car's travel rate is given

by the following expression;

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Where:

The constant distance traveled = 180 miles

The time taken = t

The equation that will make finding the rate of travel, easy in therefore;

[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answer:

5 miles

Explanation:

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Given :

Arleen has a gift card for a local lawn and garden store. She uses the gift card to . It costs $48 per day to rent the tiller. She also buys a rake for $5.

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Answers

Answer:

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Step-by-step explanation:

Laurie earns $7.50 per hour at the fruit stand plus an extra $2.00 per hour on Sundays. One week in August, she worked on Sunday, Monday, and Wednesday. She worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, how many hours did Laurie work on Monday? Enter and solve an equation.

Answers

Answer:

Hi there!

Your answer is:

She worked for 3 Hours on Monday.

Step-by-step explanation:

7.5$ per hour

7.5+2$ per hour on Sundays.

In August:

Sunday, Monday, Wednesday.

# of hours for Monday =Wednesday

Sunday= 4 hrs (which would mean 9.5$ * 4)

Monday and Wednesday will be modeled by X

X + 38$ (earned sunday)= 83$

-38

X= 45$

Since X represents BOTH monday and wednesday, divide by 2

45/2 = 22.5$

CHECK YOUR WORK

22.5$ (monday) + 22.5$ (wednesday) + 38$ (sunday)= 83???

45=38=83???

83=83 YES

Now, to determine how many hours that is, we divide the earned wages by the wage per hour.

22.5 / 7.5 = 3 HOURS

CHECK YOUR WORK

3 hours * 7.5 per hour = 22.5???

22.5 = 22.5 YES

Hope this helps

If she worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, the number of  hours that Laurie work on Monday will be: 3 hours

$7.5= 1 hour  Other days

$9.50 or ($7.50+$2.00) = 1 hour Sunday

Let Sunday= 4×$9.50 =$38

Let Monday= x × $7.5=$7.5x

Let Wednesday= x × $7.5=$7.5x

Let Total earning=$83

Let x represent the number of  hours

Hence:

First step  is to formulate

7.5x+7.5x+38=83

Second step is to calculate how many hours did Laurie work on Monday

x =83-38÷ 7.5+7.5

x=83-38÷15

x=45÷15

x=3 hours

Inconclusion If she worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, the number of  hours that Laurie work on Monday will be: 3 hours

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