# 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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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.**

**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.

- You could do the simplest of all which is $24.50 divided by $0.25
- You could keep adding .25 up and count how many .25 it takes.
- Estimate or guess how much .25 would go into 24.50 then times it then give or take to get your answer
- 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**

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.

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**

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