1. What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5?
2. What is the average rate of change of the function f(x)=120(0.1)^x from x = 0 to x = 2?
Enter your answer, as a decimal. Do NOT round.
3. The function f(x)=5000(0.98)^0.3x represents the number of white blood cells, per cubic millimeter, in a patient x days after beginning treatment for a virus.
What is the average rate of change in white blood cells between days 1 and 5?
(A) −29.75 mm^3/day
(B) −34.75 mm^3/day
(C) −282.47 mm^3/day
(D) −353.08 mm^3/day
4. The function f(x)=60(1.5)^x models an animal population after x years.
How does the average rate of change between Year 3 and Year 6 compare to the average rate of change between Year 0 and Year 3?
(A) The average rate of change is 3.375 times as fast.
(B) The average rate of change is 3 times as fast.
(C) The average rate of change is 1.5 times as fast.
(D) The average rate of change is 2.25 times as fast.