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Vesnalui [34]
2 years ago
15

Which expression represents exponential decay

Mathematics
1 answer:
Lelu [443]2 years ago
5 0

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

y=ab^x

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only y=10(0.13)^x represents exponential decay.

Therefore, the correct option is C.

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Answer:

0.7233

Step-by-step explanation:

We want to find the area between the z-scores z=-0.95 and z=1.25.

We first find the area to the left of each z-score, and subtract the smaller area from the bigger one.

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Now the area between the two z-scores is

P(-0.25<z<1.25)=0.8944-0.1711=0.7233

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