Keith rented a truck for one day. there was a base fee of $15.95, there was an additional charge of 94 cents for each mile driven . keith had to pay $159.77 when he rented his truck. for how many miles did he drive the truck

Hey there!!

The base fee was $15.95 and an extra of $94 cents, 94 cents can be written as $0.94. The number of miles can be denoted as 'm'  as the number of miles can vary and it is a variable.

The total cost would be = The base price + The cost for number of miles driven.

The total cost = $15.95 + $0.94 × ( the number of miles driven ).

∴ The number of miles is driven as 'm'.

The total cost = $15.95 + 0.94m

The total cost is given $159.77

Hence,

... $15.95 + $0.94m = $159.77

Subtract 15.95 on both sides  :

... 0.94m = $159.77 - $15.95

... 0.94m = 143.82

Dividing by 0.94 on both sides :

... m = 143.82 / 0.94

... m = 153

Hence, the number of miles driven is 153 miles.

Hope my answer helps!!