A line with an arrow at the bottom is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Months, and the y-axis is labeled Amount in Dollars.
Barton took out a car loan of $2,625. He makes monthly payments of $175. The graph represents the remaining balance after each payment. Which example models the correct slope?
(1 point)
Responses
m=2,450−2,6250−1
m equals Start Fraction 2,450 minus 2,625 over 0 minus 1 End Fraction
m=525−70011−12
m equals Start Fraction 525 minus 700 over 11 minus 12 End Fraction
m=9−81,050−1,225
m equals Start Fraction 9 minus 8 over 1,050 minus 1,225 End Fraction
m=1,050−1,2259−8
m equals Start Fraction 1,050 minus 1,225 over 9 minus 8 End Fraction
The correct slope can be found by calculating the change in y (amount in dollars) divided by the change in x (months).
In this case, the change in y is $2,625 (initial loan amount) minus the remaining balance after 1 payment, which is $2,450. Therefore, the change in y is 2,625 - 2,450 = 175.
The change in x is 1 month.
So the correct slope would be:
m = (2,450 - 2,625)/(0 - 1)
= (-175)/(-1)
= 175
Therefore, the correct slope is:
m = 175.
None of the provided examples match the correct slope calculation.