Question

Zachary purchased a computer for $1,900 on a payment plan. Three months after he purchased the computer, his balance was $940. Five months after he purchased the computer, his balance was $700. What is an equation that models the balance y after x months?

Options:
A) y = 1900 - 60x
B) y = 1900 - 60
C) y = 1900 - 220x
D) y = 1900 - 70x

Answer 1

The equation that models the balance y after x months is y = -$60x + $1,940.

Step-by-step explanation:

The equation that models the balance y after x months can be obtained by finding the slope of the line passing through two points: (3, $940) and (5, $700). The slope of the line is calculated as:

slope = (change in y) / (change in x) = ($700 - $940) / (5 - 3) = -$120 / 2 = -$60.

Using the point-slope form of a linear equation, we can write the equation as:

y - $940 = -$60(x - 3)

simplifying this equation gives: y = -$60x + $1,940