228k views
3 votes
Zachary purchased a computer for $1,500 on a payment plan. Six months after he purchased the computer, his balance was $600. Eight months after he purchased

the computer, his balance was $300. What is an equation that models the balance y after x months?
The equation models the balance y after x months

1 Answer

2 votes

9514 1404 393

Answer:

y = 1500 -150x

Explanation:

Apparently, we're to assume that the balance is linear function of the number of months. We are given 3 points:

(0, 1500), (6, 600), (8, 300)

Any two of these can be used to write the equation of the line using the 2-point form:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (600 -1500)/(6 -0)(x -0) +1500

y = -900/6x +1500

y = 1500 -150x . . . models the balance after x months

User Neowenshun
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories