The table shows the times that it takes a Subaru WRX to accelerate from 0 mph to speeds of 30 mph, 40 mph, etc., up to 90 mph, in increments of 10 mph.

(a) Represent the times by x and the speeds by y, and name at least 2 function types that would be reasonable choices to model these data. (b) Find the power function model for the data.
(c) Graph the points and the function to see how well the function fits the points.
(d) What does the model indicate the speed is 5 seconds after the car starts to move?
(e) According to the model, in how many seconds will the car reach 79.3 mph?

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Time Speed (mph) Time Speed (sec) (mph) (sec) 1.6 30 7.8 70 2.7 40 10.2 80 4.0 50 12.9 90 5.6 60