1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter

months. When spring arrives, the warm air gradually melts the ice, causing its thickness to

decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of

the sheet of ice and t represents the time in weeks.

a. What is the initial value of this function?


b. What is the rate at which the ice sheet is melting?


c. How thick will the ice sheet be after 3 weeks?