Answer:
Check Explanation
Step-by-step explanation:
a) S = 2ᵗ
For the first 9 months, we just put t = 0,1,2,3,4,5,6,7,8,9
t = 0
S = 2⁰ = 1 mm³
t = 1 month
S = 2¹ = 2 mm³
t = 2 months
S = 2² = 4 mm³
t = 3 months
S = 2³ = 8 mm³
t = 4 months
S = 2⁴ = 16 mm³
t = 5 months
S = 2⁵ = 32 mm³
t = 6 months
S = 2⁶ = 64 mm³
t = 7 months
S = 2⁷ = 128 mm³
t = 8 months
S = 2⁸ = 256 mm³
t = 9 months
S = 2⁹ = 512 mm³
Right after 9 months, the size of the tumour = 512 mm³
b) Average rate of change in size of the tumor during the first 9 months = [f(b) - f(a)]/(b - a) = (512 - 1)/(9-0) = 56.78 mm³
