Question

Car rental company in charge of $100 + $0.25 per mile driven to Rick at the budget of $200 first rental car he wrote the equation 25x - 100 = 200 to figure out how many miles x he can drive an order to not go over his budget and one or two sentence explain the air treatment made and then right correct equation

Answer 1

The error in Rick's equation is that he incorrectly subtracted $100 from $200, which does not reflect the total cost of the rental including the mileage fee. The correct equation should represent the total cost as the base fee of $100 plus $0.25 per mile (25 cents times the number of miles driven), and that total cost should not exceed his budget of $200.

The correct equation is:

\[ 100 + 0.25x \leq 200 \]

To solve for \( x \) (the number of miles he can drive), Rick would then subtract 100 from both sides:

\[ 0.25x \leq 100 \]

And then divide both sides by 0.25:

\[ x \leq 400 \]

So, Rick can drive up to 400 miles without exceeding his budget.