Question

Jordan is paying off a car loan. The function that models how much he has left to pay on his loan, P, is P(m)=6000−300m, where m is the number of months since Jordan took out the loan. What was the original amount of the loan?

A.) $18,000
B.) $6,000
C.) $20
D.) $300

Answer 1

Answer: B.) $6,000

Explanation:

The equation shows how much Jordan has to pay per month until he is finished paying the loan.

This is a linear equation in the form: y = mx + c

y is the amount left to be paid

m is the change per month which means it is the amount paid per month

x is the independent variable that is changed which means it is the no. of months

c is a constant figure which in this case would be the amount borrowed.

With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.

The original amount of loan must therefore be:

= $6,000