Question

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Over what interval is the growth rate of the function increasing?

Answer 1

Answer:
`\bold{D.\ \bigg(-\infty, (ln\ 4)/(0.2)\bigg)}`

Explanation:

`y=(c)/(1+ae^(-rx))\qquad \text{where growth rate increases from}\ -\infty\ to\ (ln\ a)/(r)`

`f(x) = (15)/(1+4e^(-0.2x))\qquad \rightarrow \qquad a=4, r=0.2`

`\text{So, the growth rate increases over the interval}\ \bigg(-\infty, (ln\ 4)/(0.2)\bigg)`