Question

During the cold winter months, a sheet of ice covers a lake near the arctic circle. At the beginning of spring, the ice starts to melt. The variable s models the ice sheets thickness in meters t weeks after the beginning of spring s=-0.25t+4 by how much does the ice sheets thickness decrease every 6 weeks

Answer 1

Answer: 1.5 meters.

Step-by-step explanation:

Given: At the beginning of spring, the ice starts to melt.

The variable s models the ice sheets thickness in meters t weeks after the beginning of spring.

$s=-0.25t+4$

At t=0, s=4 meters

At t=1, s=3.75 meters

∴It is a linear equation, where the rate of change in thickness = 3.75-4=0.25 meter per minute .

The decrease in ice sheet in every  6 weeks = $6\times\text{rate of decrease}=6\times0.25=1.5\ meters$