Question

Zachary purchased a computer for 1800 on a payment plan. Three months after he purchased the computer, his balance was 1350. Five months after he purchased the computer, his balance was 1050. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?

Answer 1

Solution-

Zachary purchased a computer for 1800 on a payment plan.  (Initial Money)

3 months after he bought the computer, his balance was 1350. (Money after 3 months)

Total money paid in 3 months = 1800-1350 = 450

Money paid per month = 450/3 = 150

5 months after he bought the computer, his balance was 1050.

Total spent = 1800-1050 = 750 = (5× 150)

So the equation that models the balance b after m months,

b = 1800 - m(150)

∴ Here, the slope signifies the constant monthly deduction of $150.