hello i would appreciate the help

Question

Jamie notices that her set of golf clubs is decreasing in value over time. She paid $500 for the clubs, and after 3 years, she sees that it is worth $314.

Assuming that the value is changing linearly, estimate the value of the clubs 5 years after she bought it.

Answer 1

Since the problem says we assume it changes linearly, we will use a linear function to show how much value they lose.

The formula for slope (designated by m) is (change in y)/(change in x), or (y₂-y₁)/(x₂-x₁)

This would give us (500-314)/3, which equals 186/3, or 62. So every year they lose $62 in value.

In 5 years the clubs would lose 5 * $62, which equals $310. So in 5 years they lose $310 in value.

In 5 years the clubs will be worth $500 - $310.