The following data represent the cost C (in thousands of dollars) of manufacturing Chevy Cobalts and the number x of Cobalts produced.

(a) Draw a scatter diagram of the data using x as the independent variable and C as the dependent variable. Comment on the type of relation that may exist between the two variables C and x.

(b) Use a graphing utility to find the cubic function of best fit C = C(x).

(c) Graph the cubic function of best fit on the scatter diagram.

(d) Use the function found in part (b) to predict the cost of manufacturing 11 Cobalts.

(e) Interpret the y-intercept.

Number of Cobalts Produced, x …………………………………… Cost, C

0 …………………………………………………………………………………. 10

1 …………………………………………………………………………………. 23

2 …………………………………………………………………………………. 31

3 …………………………………………………………………………………. 38

4 …………………………………………………………………………………. 43

5 …………………………………………………………………………………. 50

6 …………………………………………………………………………………. 59

7 …………………………………………………………………………………. 70

8 …………………………………………………………………………………. 85

9 …………………………………………………………………………………. 105

10 …………………………………………………………………………………. 135