Jeff wants to purchase a television for his first apartment. The television costs $750. He can get a zero-interest loan for the television if he pays $100 per month. At the same time, he puts away $200 per month in savings. To figure out when his savings will equal the remaining amount he owes on the television, he starts writing a system of equations: Equation 1: y = 200x Equation 2: Write the second equation in the system.

Question

Jada Simon

Social Studies

27 September, 15:20

Jeff wants to purchase a television for his first apartment. The television costs $750. He can get a zero-interest loan for the television if he pays $100 per month. At the same time, he puts away $200 per month in savings. To figure out when his savings will equal the remaining amount he owes on the television, he starts writing a system of equations: Equation 1: y = 200x Equation 2: Write the second equation in the system.

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Answers (1)

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Chloe · Answer 1

The explanation is given below

Explanation:

If Jason puts away $200 per month in savings, the money saved (y) in x months is given by the equation: y = 200x.

Jason collects a loan of $750 and pays with no interest if he pays $100 per month. Therefore in x months, Jason would have paid 100x as part of the $750 loan.

The money remaining for Jason to pay after x months is given as: 750 - 100x.

To figure out when his savings will equal the remaining amount he owes on the television, the money saved (y) in x months is to be equal to The money remaining for Jason to pay after x months. That is:

750 - 100x = 200x

200x + 100x = 750

300x = 750

x = 750/300

x = 2.5 months