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Lubov Fominskaja [6]
3 years ago
9

Identify the function as exponential growth or decay. y = a * (8/5) ^ 0

Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

y=a\left(\frac{8}{5}\right)^t

As the function is of the form

  • y=abˣ

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

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Answer:

The margin of error is  ME = 2.2962

Step-by-step explanation:

From the question we are told that

     The number of student is n = 500

     The highest amount is  A =$200

     The lowest amount is  B = $75

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The Standard deviation  of this set is mathematically evaluated as

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Substituting values

            s =  \frac{200-75}{4}

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The margin of error (ME) is mathematically evaluated as

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Where  t_{n-1}__{\alpha }} is the critical value for \alpha  = 0.05 i.e the significance level

     From the critical value table this is  t_{n-1}__{\alpha }}  =  1.649

So

       ME =  1.649  *  \frac{31.25}{\sqrt{500} }

      ME = 2.2962

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