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emmainna [20.7K]
3 years ago
10

PLEASE HELP MEEEEEEE!!!!!

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

C  7ft/yr

Step-by-step explanation:

The given points are not all on the same line, so the average will vary depending on the interval of interest.

Over the interval [1, 11] years, the average rate of change of height is ...

  change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr

__

On the interval [11, 15] years, the average rate of change is ...

  (105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr

Even on this interval, the closest answer choice is C.

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Answer:

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Step-by-step explanation:

Given

f(x)=3*5^{2x-3}

Required

To determine if it is an exponential function, we have to write in form of

f(x) = ab^x

If we're able to do so, then the function is an exponential function.

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Apply Law of indices

f(x)=3*\frac{5^{2x}}{5^3}

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f(x)=3*\frac{5^{2x}}{125}

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f(x)=\frac{3}{125} * 25^x

By comparing the above to f(x) = ab^x

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a = \frac{3}{125}

b^x = 25^x

Since, we've be able to express the function as f(x) = ab^x

Then, f(x)=3*5^{2x-3} is an exponential function

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