Problem 10E

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

f(t) = 2200 + 400t, g(t)= 400 · 2t/20

Solution 10E Step 1 In this problem we have to show that the growth rate of the linear function is constant and the relative growth rate of the exponential function is constant. Given f(t) = 2200 + 400t which is linear And g(t) = 400(2 t/2) which is exponential. To prove: t he growth rate of f(t) = 2200 + 400t is constant and relative growth rate of t/20 g(t) = 400(2 )is constant.