Alake 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 three weeks, the sheet is only 1.25 meters thick. let y represent the ice sheet’s thickness (in meters) after x weeks.

Step-by-step explanation:

Linear Relationship

When two variables follow a linear relationship, the function has a constant rate of decrease or increase. We can completely define a line by knowing 2 points P(a,b) and Q(c,d) by using the two-point formula

The thickness of the sheet of ice is a function of time x in weeks. We know when x is zero (during the cold winter months), the thickness is 2 meters. 3 weeks, the sheet is 1.25 meters thick. This gives us two points to work with P(0,2) Q(3,1.25). Replacing values in the formula

Operating

Rearranging

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.