1. An engineer collected the data below showing the speed, s, ofa Toyota Camry and its average miles per gallon, M
| Speed, s | 30 | 35 | 40 | 40 | 45 | 50 | 55 | 60 | 65 | 65 | 70 |
| Mpg, M | 18 | 20 | 23 | 25 | 25 | 28 | 30 | 29 | 26 | 25 | 25 |
a. Plot the data above, treating speed as the independentvariabl (x). What type of relation, linear or quadratic, appears toexist between speed and miles per gallon?
b. Based on your response above, find either a linear or aquadratic model that describes the relationship between the twovariables.
c. Use your model to predict the mpg of a Toyota Camry that istravelling 63 mph
d. Does this model have a maximum value? if so, what is it? ifthe model does not have a maximum value, find the y-intercept. Doesthis intercept make sense in the context of the problem
