Two functions f and g are given. Show that the growth rate of the linear function is constant and that the relative growth rate of the exponential function is constant.

f(t)=180+9.5t,

g(t)=180et/9

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Part 1

If y(t) represents a population, what is the absolute growth rate of the function?

A.

y(t)

This is the correct answer.

B.

y(t)

C.

y(t)y(t)

Your answer is not correct.

D.

y(t)y(t)

Part 2

What is the growth rate of the linear function f(t)?

The growth rate is

enter your response here,

which is constant.

(Simplify your answer.)