Question

Michael's father is giving him an interest-free loan for a car. Michael plans to give his father a $5000 down payment and pay $500 per month. The total amount paid can be represented by the linear function T = 500x + 5000, where T is the total paid to his father and x is the number of months. What would change the slope of the linear function?

Answer 1

change the amount paid per month

Answer 2

Change in x i.e. number of months would change the slope of the linear function.

Explanation:

Given :

Michael plans to give his father a $5000 down payment and pay $500 per month.

The total amount paid can be represented by the linear function T = 500x + 5000, where T is the total paid to his father and x is the number of months.

To Find: What would change the slope of the linear function?

Solution:

We are given a linear function
`T = 500x + 5000`

Where T is the total paid to his father and x is the number of months.

General form of linear function =
`y=mx+c`

Where m is the slope of the function

x changes the slope of the function

So, comparing the given function with general form :

m = 500

So, change in x i.e. number of months would change the slope of the linear function.