Question

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

Answer 1

`y=-450x+1900`

Explanation:

According to the problem, the payment plan is $1,900, so automatically our balance is $1,900. We are then told after two months, his balance was $900:

`1900=900(2)`

To achieve the equation the problem is asking for we have to find how much Zachary would possibly be paying for one month. Divide the $900 into two months:

`(900)/(2)`

`=(450)/(1)`

Zachary pays
`450` a month, and we have to remember this is being subtracted from the initial balance. We can represent this as:

`y=mx+b`

`y=-450x+1900`