Write an equation and interpret the solution to the following problem: Rental car A has a rate of an initial $100, plus $10

Question

per day. Rental car B has a rate of an initial $50, plus $20 per day. After how many days are the rental car prices equal?
(1 point)

Answer 1

Let x be the number of days.

For rental car A, the equation is:
Total cost = $100 + $10x

For rental car B, the equation is:
Total cost = $50 + $20x

To find when the rental car prices are equal, we set the two equations equal to each other and solve for x:

$100 + $10x = $50 + $20x

Subtracting $10x and $50 from both sides, we get:

$100 - $50 = $20x - $10x

$50 = $10x

Dividing both sides by $10, we get:

5 = x

Therefore, the rental car prices are equal after 5 days.