Question

Ahmad rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 74 cents for each mile driven. Ahmad had to pay $193.15 when he rented the truck. For how many miles did he drive the truck

Answer 1

To solve this problem, we should set up an equation, letting the unknown value of miles that Ahmad drove be represented by the variable x. We can have our total price on one side of the equation, set equal to the base fee plus the number of miles Ahmad drove multiplied by the charge per mile (x). This equation is modeled below:
191.95 = 16.99 + 0.72x (remember that 72 cents in dollars is equal to 0.72!)
To solve this equation, we must get the variable x isolated on one side of the equation. To do this, we begin by subtracting 16.99 from both sides of the equation.
174.96 = 0.72x
Next, we must divide both sides of the equation by 0.72 to get rid of the coefficient on the variable x.
x = 243
Therefore, your answer is Ahmad drove the truck for 243 miles.
Hope this helps!

Answer 2

234 miles were driven.

Explanation:

Givens

Fixed fee(F) = 19.99

mile fee(m) = 0.74

Total Cost(T) = 193.15

Equation

T = F + 0.74* M

Substitute

193.15 = 19.99 + 0.74*m

Solution

193.15 = 19.99 + 0.74*m Subtract 19.95 from both sides

193.15 - 19.99 = 0.74*m Combine the left

173.16 = 0.74m Divide by 0.74

173.16/0.74 = m

m = 234 miles