Answer:
[tex]\displaystyle y=2-0.25x[/tex]
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
[tex]\displaystyle y-b=\frac{d-b}{c-a}(x-a)[/tex]
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
[tex]\displaystyle y-2=\frac{1.25-2}{3}x[/tex]
Operating
[tex]\displaystyle y-2=-0.25x[/tex]
Rearranging
[tex]\displaystyle y=2-0.25x[/tex]
