Question

Lucas took out a loan from his family member to buy a car. After 12 months, he had paid $5,140. After 36 months, he paid $13,420. Create a linear equation that represents the amount of money he has paid as a function of months.(1 point)

y−5,140=345(x−36)


y−36=345(x−13,420)


y+5,140=345(x−12)


y−13,420=345(x−36)

Answer 1

y − 13,420 = 345(x − 36)

Reason: slope = (13,420 − 5,140)/(36 − 12) = 8,280/24 = 345, so using point-slope with (36, 13,420) gives y − 13,420 = 345(x − 36).