Gregg rents a car for a business trip. A car rental company charges $100 for the first 50 miles and $5 for every additional 10 miles. If the total charge is $200, then how far did Gregg travel in the rental car? 20 miles 250 miles 200 miles 50 miles

Write a linear equation representing this situation. Let C be the total charge for the car rental. Then C = $100 + ($5/10 miles) x, where x represents the total number of miles driven.

C = $200 = $100 + ($0.50/mile) x

Simplifying, $100 = ($0.50/mile) x

Divide both sides by ($0.50/mile) : [$100] / [$0.50/mile] = x

Solving for x: x = 200 miles

Its 250 miles cuz 20 x 5 = 100 and 20x10 is 200 so 200+50 = 250