Chapter 12.2, Problem 48E

(a)

To determine

To calculate: The approximate municipal solid waste generated in the year $1970$ (to the nearest hundredth). When the provided exponential function is $f\left(x\right)=94.78{\left(1.02\right)}^x$. Where, $f\left(x\right)$ represents the municipal solid waste in millions of tons in the United States from $1960$ to $2010$ and $x=0$ represents $1960$, $x=10$ represents $1970$, and so on.

(b)

To determine

To calculate: The approximate municipal solid waste generated in the year $1980$ (to the nearest hundredth). When the provided exponential function is $f\left(x\right)=94.78{\left(1.02\right)}^x$. Where, $f\left(x\right)$ represents the municipal solid waste in millions of tons in the United States from $1960$ to $2010$ and $x=0$ represents $1960$, $x=10$ represents $1970$, and so on.

(c)

To determine

To calculate: The approximate municipal solid waste generated in the year $1990$ (to the nearest hundredth). When the provided exponential function is $f\left(x\right)=94.78{\left(1.02\right)}^x$. Where, $f\left(x\right)$ represents the municipal solid waste in millions of tons in the United States from $1960$ to $2010$ and $x=0$ represents $1960$, $x=10$ represents $1970$, and so on.

(d)

To determine

The comparison between municipal solid waste generated in the year $2005$ that gives the model and the actual number that was $252.7$ million tons. The modeled exponential function is $f\left(x\right)=94.78{\left(1.02\right)}^x$. Where, $f\left(x\right)$ represents the municipal solid waste in millions of tons in the United States from $1960$ to $2010$ and $x=0$ represents $1960$, $x=10$ represents $1970$, and so on.