find the exponential function that satifies the given conditions:
initial value = 62, decreasing at a rate of 0.47% per week.

f(t) = 62 ⋅ 0.9953t

f(t) = 62 ⋅ 1.47t

f(t) = 62 ⋅ 1.0047t

f(t) = 0.47 ⋅ 0.38t

f(t) = 62 ⋅ 0.9953t

Step-by-step explanation:

The function decreases at a rate of 0.47%

That will mean, the initial value decreases by 0.47?

100% - 0.47% = 99.53%

The next value will be 99.53% of the initial value.

∴ 99.53% × 62 = 0.9953 × 62.

After a time t, the value will be:

0.9953t × 62

∴ Answer = 62 × 0.9953

answer: f = 32.2m

step-by-step explanation: that is the answer