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avatarPhilosophicalGarnet9810
Secondaire 3 • 7m

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.

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      avatarKatia Kteacher check
      Équipe Alloprof • 7m

      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:

      image.png

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      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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