Two Go-Kart facilities charge a membership fee and an amount per ride. TURBO charges $80 for membership and $10 for each ride. At SUPERFAST it costs $240 for 15 rides and $400 for 35 rides. For how many rides will it cost the same at both facilities? I know that the rule for TURBO is 80 + 10x, but I'm not sure what the rule for SUPERFAST is.
Explanation (1)
Student Explanation
June 8, 2025
Hi!
First of all, the rule for Turbo is indeed y=10x+80.
For Superfast, you're given the following two points: (15, 240) and (35, 400). Since you know two points of the affine function, you can find the rule by following these steps:
Consult this sheet if needed: Finding the Equation of a Linear Function | Secondaire | Alloprof
Once you have both rules, you can solve a system of equations to find the number of rides when the prices at both facilities are the same.
I hope this helps! :)
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