Chapter 2.3, Problem 66E

Automobile production. The table shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market.

A mathematical model for this data is given by

$f\left(x\right)=-0.0117x^2+0.32x+17.9$

where $x=0$ corresponds to $1980$.

(A) Complete the following table. Round values of $f(x)$ to one decimal place.

(B) Sketch the graph of $f$ and the market share data in the same coordinate system.

(C) Use values of the modeling function $f$ to estimate Ford’s market share in $2025$ and in $2028$.

(D) Write a brief verbal description of Ford’s market share from $1985\text{ to }2015$.