Question

Evaluate the function to answer the question.Botanists have determined that some species of weed grow in a circular pattern. For one such species, the area A, in square meters, can be approximated by A(t) = 0.005t2, where t is the time in days after the growth of the weed first can be observed. Find the area (in square meters) this weed will cover 110 days after the growth is first observed. Round to the nearest square meter. ______m2

Answer 1

Consider the given function,

`A(t)=0.005\pi t^2`

This function gives the area (A) covered by weed 't' days after the weed growth is first observed.

The area covered by weed after 110 days is calculated as follows,

`\begin{gathered} A(110)=0.005\pi(110)^2 \\ A(110)=0.005\cdot(22)/(7)\cdot(110)^2 \\ A(110)\approx190 \end{gathered}`

Thus, the area after 110 days is approximately 190 square meters.