A mathematical model can be used to describe the relationship between lhe number of feet

Chapter 5, Problem 32

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A mathematical model can be used to describe the relationship between lhe number of feet a car travels onoe the brakes are applied, y, and the numbe r of seconds the car is in motion afte r the brakes are a pplied, x. A research firm collects the following data: x. sec:ond.~ in motioo after brakes are applied I 2 3 y, feet car travels once the brakes are applied 46 84 114 a. Fmd the quadratic function y - ax2 + bx + c whose graph passes through the given points. b. Use the function in part (a) to find the value for y when x - 6. Describe what this means.

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