The amount of CO2 emitted per year A (in tons) for a vehicle that averages x miles per gallon of gas, can be approximated by the function A(x) = 0.0089x2 – 0.815x + 22.3.
a) Determine the average rate of change of the amount of CO2 emitted in a year over the interval
[20, 25), and interpret its meaning.

Average Rate of Change = -0.4145

It means that the amount of CO2 emitted per year will decrease by an averaage rate of 0.4145 (tons - gallon of gas)/mile

Step-by-step explanation:

In order to solve this problem, we can make use of the Average Rate of Change formula, which looks like this:

So we need to start by finding what A(25) is equal to, so we get:

so

A(25)=7.4875

next, we can find A(20)

so we get:

A(20)=9.56

so now we can use the average rate of change formula:

ARC=-0.4145

and It means that the amount of CO2 emitted per year will decrease by an averaage rate of 0.4145 (tons - gallon of gas)/mile

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step-by-step explanation:

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