Question

A sample of a mysterious chemical substance
naturally gains mass over time.
The relationship between the elapsed time t, in
years, since the mass of the sample, M(t), in
grams, was initially measured is modeled by
the following function:
4t+3
M(t) = (1.16)
Complete the following sentence about the
yearly percent change in the mass of the
sample.
Round your answer to the nearest percent.
Every year, there is a
%
addition to/ removal from v
the mass of the
sample.

Answer 1

Answer: every year there is an 81% addition to the mass of the sample

Step-by-step explanation:

Khan academy told me

Answer 2

The yearly percent change in the mass of the sample will be 81.06%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

A sample of a mysterious chemical substance naturally gains mass over time.

The relationship between the elapsed time t, in years, since the mass of the sample, M(t), in grams, was initially measured is modeled by the following function:

$\rm M(t) = (1.16)^{4t+3}$

The yearly percent change in the mass of the sample will be

At t = 0, we have

M(0) = (1.16)³ = 1.561

At t = 1, we have

M(1) = (1.16)⁷ = 2.826

Then the percentage will be

P = [(2.826 – 1.561) / 1.561] x 100

P = 0.8106 x 100

P = 81.06%

More about the percentage link is given below.

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