Question

One type of uranium has a daily radioactive decay rate of 0.39%. The function f(t) = 32(2.7)–0.0039t can be used to find how many pounds of a sample of uranium will remain after t days. Approximately how much of the sample will remain after 30 days?

A.
10 pounds

B.
22 pounds

C.
28 pounds

D.
30 pounds

Answer 1

Approximately 22 pounds of the sample will remain after 30 days.

Step-by-step explanation:

To determine how much of the sample will remain after 30 days, we need to substitute t = 30 into the function f(t).

f(t) = 32(2.7)–0.0039t

f(30) = 32(2.7)–0.0039(30)

f(30) ≈ 32(2.7)–0.117

Using a calculator, we can evaluate this approximation to find that f(30) is approximately 22.69 pounds.

Therefore, approximately 22 pounds of the sample will remain after 30 days.