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:

Question

Jason Sloan

Mathematics

7 April, 08:50

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:

+4

Answers (1)

Know the Answer?

Kayley Clayton · Answer 1

f (n) = 9n + 32

Step-by-step 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