Question

Some college friends have decided to go on a road trip over the summer with some friends. Finances are tight and they need to hire a car for the trip. There are two hire companies to choose from: Crazy Curly's charges a base fee of $20 and then 30 cents per mile. Bill's Beauties charges 20 cents per mile and a base fee of $50. - Write a system of equations that can be used to determine at what trip distance Bill's and Curly's rental cost would be the same. - At what trip distance would Bill's and Curly's rentals cost the same amount?

Answer 1

• 300 miles

Explanation:

Let

• y- the amount of charge,
• x - the number of miles

The equations as per question are below

Crazy Curly's

• y = 0.3x + 20

Bill's Beauties

• y = 0.2x + 50

Solve the system by substitution

• 0.3x + 20 = 0.2x + 50
• 0.3x - 0.2x = 50 - 20
• 0.1x = 30
• x = 30/0.1
• x = 300