Chapter 2.8, Problem 122PE

To determine

To calculate:

The difference quotient $\frac{A\left(x+h\right)-A\left(x\right)}{h}$, where the amount of CO2 emitted per year $A\left(x\right)$ (in tons) for a vehicle that burns $x$ miles per gallon of gas, is given by $A\left(x\right)\text{ = }0.0092x^2\text{ - }0.805x\text{ + }21.9$

b)

To determine

To calculate:

The difference quotient on the interval [20, 25], and interpret its meaning in the context of this problem, where The amount of CO2 emitted per year $A\left(x\right)$ (in tons) for a vehicle that burns $x$ miles per gallon of gas, can be approximated by $A\left(x\right)\text{ = }0.0092x^2\text{ - }0.805x\text{ + }21.9$

c)

To determine

To calculate:

The difference quotient on the interval [35, 40], and interpret its meaning in the context of this problem, where The amount of CO2 emitted per year $A\left(x\right)$ (in tons) for a vehicle that burns $x$ miles per gallon of gas, can be approximated by $A\left(x\right)\text{ = }0.0092x^2\text{ - }0.805x\text{ + }21.9$