Question

An anchor chain has 32 links lying on a ship's deck, while the rest of the chain is below deck height. Each time the raise-anchor control is activated, 9 more links come over the edge to lie on the deck

Write a linear function that models the number of chain links on deck after n activations of the raise-anchor control.

*HINT:

Common difference is the slope (m)
Initial value is the y-intercept (b)
Function notation:

Answer 1

f(n) = 9n +32

Explanation:

The problem statement and hint tell you how to fill in the values of the form ...

y = mx + b

Here, you have "n" (not "x") as the independent variable, and you want functional form (f(n) =, not y =). So the form you're filling in with m=9, b=32 is ...

f(n) = mn +b

After the substitution, you have ...

f(n) = 9n +32