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3 years ago

What is the relationship between the base of an exponential function and its rate of growth?

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

Answer:

growth rate is the number of times the base repeats

Step-by-step explanation:

We have that the general form of the exponential function is of the type:

f (x) = a ^ x

where "a" is the base and "x" is the exponent.

Therefore, the relation they keep to this exponent would be the growth rate since it is the number of times that the base is repeated, which means that the higher "x" is, the more times "a" is repeated.

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Given:

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$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

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