Question

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?

Answer 1

Answer:

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