Question

The function f(x) = 50 • 1.5x represents the number of bacteria after x days. Find the average rate of change from 0 days to 4 days. Round values to the nearest whole number. A. 83 B. 203 C. 51 D. 4

Answer 1

f(x) = 50 * 1.5^x (not 1.5x): # of bacteria present.

Average Rate of Change from 0 days to 4 days is

f(4) - f(0) 50(1.5^4 - 1.5^0) bacteria
------------- = -------------------------- ------------------
4-0 4 day

50(5.0625 - 1)
= ----------------------- = 51 bacteria per day = average rate of change
4