Question

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Answer 1

Answer:

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 2

Answer:

Option first is the correct answer

Step-by-step explanation:

Equation for the exponential function is given by

$A= P(1-r)^t$

where A is amount after t time

             P = initial amount

             r = rate of interest

If it is decreasing by rate of r%

Here in the question  initial value  is given to be 62   therefore P = 62

and rate  of decreasing is 0.47% which can be written as 0.0047 in decimal form

$f(t) = 62(1-0.0047)^t$

   f(t) = 62$(0.9953)^t$

Is the exponential function that satisfies the condition

therefore option first is the correct answer,