Constructing Linear and Exponential Functions - Application
In 1980, the estimated population of Pottsville, USA was 33,476 people. By 1981, the population had grown to 34,889 people.
Assuming that the growth is linear, construct a linear function L(t)\displaystyle {L}{\left({t}\right)} that expresses the population of Pottsville t\displaystyle {t} years since 1980 and use it to predict the population in the year 1987.

L(t)=\displaystyle {L}{\left({t}\right)}=  
Round to the nearest thousandth as needed.

If this growth rate continues, the population in the year 1987 will be approximately people.
Round your answer to the nearest person.
Assuming that the growth is exponential, with growth rate of 4.2 % per year, construct an exponential function E(t)\displaystyle {E}{\left({t}\right)} that expresses the population of Pottsville t\displaystyle {t} years since 1980 and use it to predict the population in the year 1987.

E(t)=\displaystyle {E}{\left({t}\right)}=  
Round to the nearest thousandth as needed.

If this growth rate continues, the population in the year 1987 will be approximately people.
Round your answer to the nearest person.

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