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) equals160plus8.5 t, g (t) equals160 e Superscript t divided by 8 What is the growth rate of the linear function

linear function growth rate: 8.5

Step-by-step explanation:

The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)

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The growth rate of g (t) is its derivative: g' (t) = (1/8) (160e^ (t/8)) = 20e^ (t/8). Then the relative growth rate is ...

g' (t) / g (t) = (20e^ (t/8)) / (160e^ (t/8)) = 20/160 = 1/8

It is a constant.