The following data represent the cost C (in thousands of dollars) of manufacturing Chevy Cobalts and the
Question:
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
Step by Step Answer:
a Graphing we see that the graph may be a cubic relation b The cub...View the full answer
