Question

A rentail truck company charges $25 per day plus $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?

Answer 1

Answer:

0.35m + 25 = 42.50

Step-by-step explanation:

If you were to rent a truck for one day you will first have to pay a $25 fee for one day. This is represented by + 25 in the equation above.

Then for every mile you go you must pay $0.35, represented as 0.35m.

As an example to make it easier if you had to pay 1 dollar per mile and you went 10 miles it would cost $10. This can be proved by 1m (m being the variable for number of miles) Plug in 10 for m and you can asee 1(10)=10, because obviously 1 times 10 is 10.

Same premise with $0.35

Then both of those fees added up are equal to a total of $42.50.

To prove it can find the exact number of miles that need to be driven to cost a total of $42.50 just follow steps bellow.

1. 0.35m + 25 - 25 = 42.50 - 25

Subtracting the inital fee since it is part of the total, and if you add/subtract/multiply/divide on one side you must do to the other.

2. 0.35m/0.35 = 17.50/0.35

You divide because m is being multiplied with 0.35 and to undo the multiplication you divide. Doing the same to both sides.

3. m = 50

Plug in 50 to "m" in the equation above and if both sides are equal the answer is valid.