Question

Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off. Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter. Select the equation and solution for the number of months, x, it takes her to have $150 left to pay. -18.75x + 150 = 600 Clarissa's sister will have $150 left to pay after 24 weeks. 18.75x − 150 = 600 Clarissa's sister will have $150 left to pay after 8 weeks. -18.75x + 600 = 150 Clarissa's sister will have $150 left to pay after 24 weeks. 18.75x − 600 = 150 Clarissa's sister will have $150 left to pay after 8 weeks.

Answer 1

Answer: 18.75x + 150 = 600; Clarissa’s sister will have $150 left to pay after 24 weeks.

Step-by-step explanation: The initial cost is 600 dollars and she has a payment plan of 18.75 dollars per week. This means she has 18.75 times x number of weeks to pay off the entire 600 dollars. Her payment plan can be expressed as follows;

18.75x = 600

However, she wants to make her weekly payments such that at a point she would be left with an outstanding payment of 150 dollars. In other words she wants to know when her weekly payment plus 150 would all be a total of 600. That is 18.75x plus 150 would be equal to 600. Our new equation based on this information is as follows;

18.75x + 150 = 600

18.75x = 600 - 150

18.75x = 450

Divide both sides of the equation by 18.75

x = 24

Hence after paying 18.75 dollars for 24 weeks (450 dollars) she would still have 150 dollars left unpaid.

Therefore the correct equation is;

18.75x + 150 = 600