4) The running pace for the fastest female runner for their age in the Race for Hope 5k is given for several ages:
Age 20 31 34 41 50 57
Pace (minutes per mile) 7.19 7.44 7.29 8.23 8.71 9.44
This can be modeled by the equation y = 0.00145x^2- 0.0485x + 7.53 where x is age and y is
average pace in minutes per mile.
a) What does the y-intercept of this function represent?
b) Using this model, what would be the pace for the fastest 26-year-old woman? Round your
answer to the nearest hundredth.
c) According to the model, what would be the pace for the fastest a 83-year-old woman? Round
your answer to the nearest hundredth.
d) What age(s) correspond to a pace of 8.5 minutes? Round your answer(s) to the nearest tenth.