Question

A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. When spring arrives, the ice starts to melt. S(t)S(t) models the ice sheet's thickness (in meters) as a function of time tt (in weeks). S(t)=-0.25t+4S(t)=−0.25t+4 By how much does the sheet's thickness decrease every 66 weeks?

Answer 1

The answer is 4 meters.

Explanation:

Answer 2

Answer: 1.5 meters

Explanation:

Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S

S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks)
`S(t)=-0.25t+4`

if we put x=0, then

`S(0)=-0.25(0)+4\\=4\ meters`

So 4 meters is the initial thickness

To find the thickness after 6 weeks, put x=6 we get

`S(6)=-0.25(6)+4\\=-1.5+4=2.5\ meters`

Decrease in thickness every 6 weeks=
`4-2.5=1.5\ meters`