Question

Hans rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 95 cents for eachmile driven. Hans had to pay $201.39 when he returned the truck. For how many miles did he drive the truck?

Answer 1

We can solve this problem if we pose this situation as a linear problem:

1. We have a base fee of $18.99.

2. There is an additional charge of 95 cents ---> 0.95$ for each mile driven.

3. The result for the function is $201.39.

Therefore, we have the next equation:

$y=18.99+0.95x\Rightarrow201.39=18.99+0.95x$

Then, to find the miles that Hans drove the truck, we need to solve for x, as follows:

1. Subtract 18.99 to both sides of the equation:

$201.39-18.99=18.99-18.99+0.95x$

Then, we need to divide both sides of the equation by 0.95:

$182.4=0.95x\Rightarrow\frac{182.4}{0.95}=\frac{0.95}{0.95}x\Rightarrow x=192$

Therefore, Hans drove the truck for 192 miles.