Assume the annual number of skin cancer deaths increases geometrically, instead of arithmetically. Use the same starting number of 9,300 in 2000 and 200,000 in 2050. Select the number closest to the ratio of number of deaths from year to year.

A. 1.0655
B. 1.3259
C. 1.0633

To find the ratio of number of deaths from year to year, we need to calculate the annual growth rate. Since the number of skin cancer deaths is increasing geometrically, we can use the formula for compound interest:

FV = PV * (1 + r)^n

Where:
FV = future value (number of deaths in 2050)
PV = present value (number of deaths in 2000)
r = annual growth rate
n = number of years

We know that the present value (PV) is 9,300, the future value (FV) is 200,000, and the number of years (n) is 2050 - 2000 = 50. We can solve the formula for the growth rate (r):

r = (FV / PV)^(1/n) - 1

Substituting the values, we get:

r = (200,000 / 9,300)^(1/50) - 1

Now we can calculate the growth rate (r) using any calculator or a spreadsheet program:

r ≈ 1.0655

So the closest ratio of number of deaths from year to year is 1.0655.

Therefore, the answer is A. 1.0655.

1.0633