Answer:
The equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x
Explanation:
Ice thickness decreases at a rate of 0.2 meters per week. This can then be represented by the expression
f(x) = k - 0.2*x
where k is the thickness of the ice before the melting starts and x is the number of weeks.
After 7 weeks, the ice is only 2.4 meters thick. This means that x has a value of 7, while f (7) = 2.4. Replacing in the previous expression:
2.4=k -0.2*7
and solving you get:
2.4=k- 1.4
2.4 + 1.4= k
3.8= k
Then, the equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x