The cost to rent a car is $19.50 plus $.25 per mile. If you have $44.00 to rent a car, what is the greatest number of miles you can drive?

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flbyrne's profile pic

flbyrne | (Level 3) Assistant Educator

Posted on

Write an inequality for the total cost of the rental.

Cost of the rental = `19.50+0.25x<=44`

where x is the number of miles driven.

Subtract 19.50 from both sides.

`0.25x<=44-19.50`

`0.25x<=24.5`

`x<=24.5/0.25`

`x<=98`

Thus the greatest number of miles you can drive is 98 miles.

ik9744's profile pic

ik9744 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

There is a lot of possible ways to solve any kind of math, it all has to do with the way a person thinks, and how they react to the way the math problem is laid out. Now that is said here is my answer:

The cost to rent a car is $19.50 plus $.25 per mile. If you have $44.00 to rent a car, what is the greatest number of miles you can drive?

So, if I have 44 dollars we'll need to take out the amount of money that the cost of the car actually is.

44 - 19.50 would be $24.50

Now since you pay .25 per mile you could solve this in multiple ways.

  1. You could do the simplest of all which is $24.50 divided by $0.25
  2. You could keep adding .25 up and count how many .25 it takes.
  3. Estimate or guess how much .25 would go into 24.50 then times it then give or take to get your answer
  4. Lastly you could write it into a formula as 0.25x + 19.5 = 44

Showing you the first way is 24.50 divided by 0.25 would be 98 miles

Showing you the second way is .25 + .25 + .25 + .25 which takes a lot of time, so I recommend you do 1 + 1 + 1 + 1 [continue until you have 24 ones] then do 25 + 25. Since there's is four .25 in one you'll multiply 24 by 4 giving you 96, since you still have the .50 you will add 2 more onto the 96 + 2 = 98 miles

Showing you the third way is by guessing how much .25 would go into 24.50. Since I already know the answer it would be hard for me to guess but as an example I'll guess maybe 80 times. 80 times .25 would be 20. 24.50 - 20 would be 4.50 - 4 [4 = sixteen 0.25] sixteen plus the leftover .50 would be eighteen. Eighteen plus eighty = 98 miles

Showing you the last way would be writing a formula. Let the variable x be the miles.

x miles plus the amount it takes for the car equals 44 since you only have that much money

0.25x + 19.5 = 44

First you would need to get the variable on one side so subtract the 19.5

0.25x + 19.5 = 44

          - 19.5  - 19.5

0.25x            = 24.5

0.25x/0.25    = 24.5/0.25

x                  = 98 miles

Step #1 and #4 is similar just one with an equation and the other jumping forward

Answer: 98 MILES

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

The cost of renting a car is $19.50 plus $0.25 per mile. If $44.00 is the amount available to travel in the car, let the number of miles that can be traveled be x.

The cost for traveling x miles is x*0.25 + 19.5

x*0.25 + 19.5 = 44

0.25*x = 49/2

x = 98

With $44 it is possible to travel 98 miles by car.

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

To solve this question you would need to create a formula.

0.25 [x] + 19.5 = 44 subtract 19.5 from 44

             - 19.5  - 19.5

0.25 x = 24.5 then you divide 0.25 to get x by itself.

0.25 x /0.25 = 24.5 / 0.25

x = 98

Since it is talking about miles then your answer would be:
98 miles

wanderista's profile pic

wanderista | Student, Grade 11 | (Level 2) Valedictorian

Posted on

The most amount of miles you can drive under those considerations is 98 miles.

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