Quiz 10

Show all work in a neat and organized fashion. Clearly indicate your answers.

10 points possible.

Use correct units!!

1. (4 pts.) The table below gives average yearly fuel consumption per car in the United States from 1980 through 1990.

Fuel consumption       Year       (gallons/car)                                   1980       591       1981       576       1982       566       1983       533       1984       536       1985       525       1986       526       1987       514       1988       509       1989       509       1990       505

(a) Fit a quadratic model to the data.

(b) Write the rate-of-change formula for this model.

(c) Find the rate of change of fuel consumption in 1983.

2. (6 pts.) Find the derivative formula for each function. You do not have to simplify your answers.

(a) y=(x³+7x+9)(3.456)^x

(b) y=(x⁷+x)³(x⁴-3)⁵