Question

1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment

of $25 per month. What is the rate of change, including units ?

Answer 1

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

$y=450-25x$     ...(i)

The slope intercept form is

$y=mx+b$     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

$m=-25$

Therefore, the rate of change is -25 dollars.