It has been observed that the following formula accurately models the relationship between the size of a breast tumor and the amount of time that it has been growing.

where t is in months and V(t) is measured in cubic centimeters.

a. Find the tumor volume at 240 months.

b. Assuming that the shape of a tumor is spherical, find the radius of the tumor from part a.

c. If a tumor of size 0.5 is detected, according to the formula, how long has it been growing? What does this imply?

d. Find

 and interpret this value. Explain whether this makes sense.

e. Calculate the rate of change of tumor volume at 240 months and interpret.

Transcribed Image Text:

V(t) = 1100[1023e-0.02415 + 1]-4,