I need help pls!

1. A lake near the Artic 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.

y=

it took 3 weeks to thin by 0.75m, so that's 0.25m/wk

y = 2 - 0.25x

y = 2 - (x/3.75)

To complete the equation for the relationship between the thickness, y, and the number of weeks, x, we need to determine the rate at which the thickness decreases.

Given that the thickness of the ice sheet decreases at a constant rate, we can use the concept of slope to determine the rate.

The change in thickness, Δy, over a given period of time, Δx, represents the slope of the line. In this case, the change in thickness is from 2 meters to 1.25 meters over 3 weeks.

Using the slope formula:
slope = Δy / Δx

We can substitute the values from the given information:
slope = (1.25 - 2) / (3 - 0)

Simplifying the equation:
slope = -0.75 / 3
slope = -0.25

The slope represents the rate at which the thickness decreases per week.

So, the equation for the relationship between the thickness, y, and the number of weeks, x, can be written as:

y = (-0.25)x + 2

To find the equation for the relationship between the thickness of the ice sheet (y) and the number of weeks (x), we need to determine the rate at which the thickness decreases per week.

Given that the thickness decreases at a constant rate, we can calculate the rate of decrease by finding the difference in thickness after 3 weeks.

Initially, the thickness is 2 meters, and after 3 weeks, it decreases to 1.25 meters. The change in thickness over 3 weeks is 2 - 1.25 = 0.75 meters.

Now, we can find the rate of decrease per week by dividing the change in thickness by the number of weeks: 0.75 meters / 3 weeks = 0.25 meters per week.

Since the thickness decreases at a constant rate of 0.25 meters per week, we can write the equation as:

y = 2 - 0.25x

Here, y represents the thickness of the ice sheet (in meters) after x weeks.