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Xavier borrowed $1950 from his parents. Each month he repaid his parents $325. The table shows the function relating Javiers remaining balance to the numbers of months.

Respuesta :

MrRoyal

The loan repayment is an illustration of a linear function.

He will finish paying the loan after 6 months.

A linear function is illustrated as: [tex]\mathbf{y = mx + b}[/tex]

In this case:

  • y represents, the amount left after each the monthly repayment
  • x represents the number of months
  • b represents the loan amount i.e. 1950
  • m represents the monthly payment i.e. 325.

Because the amount reduces after each monthly payment, the value of m will be taken as: m = -325

So, we have:

[tex]\mathbf{y = -325x +1950}[/tex]

When he finishes paying the loan, we have: y = 0.

So, the equation becomes

[tex]\mathbf{0 = -325x +1950}[/tex]

Add 325x to both sides

[tex]\mathbf{325x =1950}[/tex]

Divide both sides by 325

[tex]\mathbf{x =6}[/tex]

Hence, he will finish paying the loan after 6 months.

Read more about linear functions at:

https://brainly.com/question/21107621

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