Question

Zachery purchased a computer for $1,600 on a payment plan. Four months after he purchased the computer, his balance was $1,020. Seven months after he purchased the computer, his balance was $585. What is an equation that models the balance y after x months

Answer 1

he equation that models the balance y after x months is y = 1600 - 145x.

Explanation:

We know that Zachery purchased the computer for $1,600 and that four months later his balance was $1,020. This means that in four months, the balance decreased by $1,600 - $1,020 = $580.

Similarly, seven months after the purchase, the balance was $585, which means it decreased by $1,600 - $585 = $1,015.

From this information, we can determine that the balance is decreasing at a constant rate of ($1,015 - $580) / (7 - 4) = $435 / 3 = $145 per month.

Using the initial balance of $1,600, we can now create an equation:

y = 1600 - 145x

where y represents the balance after x months.

Therefore, the equation that models the balance y after x months is y = 1600 - 145x.

((SKEEYEE))