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)=0.007πt², 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. 190 × m²

Explanation:

Step1: Substitute t value

Substitute $t = 110$ into $A(t)=0.007\pi t^{2}$.
$A(110)=0.007\pi\times(110)^{2}$

Step2: Calculate the result

First, $(110)^{2}=12100$. Then $0.007\pi\times12100 = 0.007\times3.14\times12100$.
$0.007\times3.14\times12100=266.806$.
Rounding to the nearest square - meter gives 267.

Answer:

$267$