Question

Diana is trying to pay off a loan. She borrowed $500 and plans on making monthly payments of $80. Using this information, create an equation written in slope-intercept form that models the amount owed (y) of Diana’s loan after (x) months.

Answer 1

To create an equation that models the amount owed on Diana's loan after x months, we need to know the initial loan amount and the monthly payment. The equation can be written as y = -80x + 500.

Step-by-step explanation:

To create an equation that models the amount owed on Diana's loan after x months, we need to know the initial loan amount and the monthly payment. In this case, Diana borrowed $500, which is the initial loan amount, and plans on making monthly payments of $80. The equation can be written in a slope-intercept form as y = mx + b, where y represents the amount owed, x represents the number of months, m represents the slope (which is the negative of the monthly payment), and b represents the y-intercept (which is the initial loan amount).

Plugging in the values, the equation becomes y = -80x + 500. This equation can be used to find the amount owed after a certain number of months.