Ice thickness decreases at a rate of 0.2 meters per week. After 7 weeks, the ice is only 2.4 meters thick. What is the equation for relationship between the thickness and the number of weeks?

The equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x

Step-by-step 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

step-by-step explanation: