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

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:

[tex]1900=900(2)[/tex]

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:

[tex]\frac{900}{2}[/tex]

[tex]=\frac{450}{1}[/tex]

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

[tex]y=mx+b[/tex]

[tex]y=-450x+1900[/tex]

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​

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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