Question

A lake near the Arctic Circle is covered by a 222-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. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. Let yyy represent the ice sheet's thickness (in meters) after xxx weeks. Complete the equation for the relationship between the thickness and number of weeks.

Answer 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. After 3 weeks, the sheet is only 1.25 meters thick. Let y represent the ice sheet's thickness ( in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks.

Answer:

y = 2 - 0.25x

Step-by-step explanation:

From the question, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet reduced to 1.25 meters

Hence, the difference in the thickness in 3 weeks is calculated as:

2m - 1.25m = 0.75m

The amount of changes that occurred in 3 weeks is given as:

= 0.75/3 = 0.25 meters,

We are told that, the ice is melting with the constant rate.

Therefore, the equation for the relationship between the thickness and number of weeks is given as:

y = 2 - 0.25x