Hello, freswood!

The area covered by a species of ground-cover plant has a rate of increase of y cm²/week,

given by: . where is the number of weeks after planting.

According to the model, if the plant covered 100 cm² when planted.

What area will it cover after 4 weeks?

Since is therate of increaseof ground cover,

the amount (area) of ground cover at time is given by:

. .

We are told that, when

So we have: .

Hence, the area function is: .

When cm².