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

Answer: 1.5 meters

Step-by-step 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= $4-2.5=1.5\ meters$

Answer 2

Answer:

The answer is 4 meters.

Step-by-step explanation: