The size S of a tumor in mm cubed is given by S=2^t, where t is the number of months since the tumor was discovered a: what is the total change in the size of the tumor during the first 6 months?

and b: what is the average rate of change in the size of the tumor during the first 6 months?

and c: estimate the rate at which the tumor is growing at t=6?

Question

Mathematics

Boston Stevens

23 December, 05:21

The size S of a tumor in mm cubed is given by S=2^t, where t is the number of months since the tumor was discovered a: what is the total change in the size of the tumor during the first 6 months?

and b: what is the average rate of change in the size of the tumor during the first 6 months?

and c: estimate the rate at which the tumor is growing at t=6?

+3

Answers (1)

Know the Answer?

Jeremiah · Answer 1

When t = 0, S = 2^0 = 1

When t = 2, S = 2^2 = 4

Change in size = 4 - 1 = 3 cubic mm.

Average rate of change = (S (2) - S (0)) / (2-0) = (4-1) / 2 = 1.5 cubic mm/month