Pregunta
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  1. Sean plans to buy a new tablet for . The store offers him an interest- free
    payment plan that allows him to pay in monthly installments of .
    a) How much will Sean still owe after one payment?
    b) Explain in words how the amount owed depends on the number of payments
    made. Then write an equation for calculating the amount owed for any number
    of payments .
    After three payments?
  • payments?

Ask by Moran Stanley. in the United States
Jan 23,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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After one payment, Sean owes $290. The amount owed decreases by $25 for each payment. The equation to calculate the amount owed after payments is . After three payments, Sean owes $240.

Solución

Let’s tackle each part of Sean’s tablet payment problem step by step.

Problem Overview

  • Total Cost of Tablet: $315
  • Monthly Payment: $25
  • Interest Rate: 0% (Interest-free payment plan)

a) Amount Owed After One Payment

Calculation:
  1. Initial Amount Owed: $315
  2. Payment Made: $25
Answer: After one payment, Sean still owes $290.

b) Relationship Between Amount Owed and Number of Payments

Explanation:
  • Linear Relationship: The amount Sean owes decreases by a fixed amount ($25) each month as he makes payments.
  • Dependence on Number of Payments: For every additional payment , the total amount owed decreases by dollars.
Mathematical Equation:
  • Where:
    • = Amount owed after payments
    • = Number of monthly payments made
Interpretation:
  • : Before any payments, (the full price).
  • : After one payment, .
  • And so on.

Additional Question: Amount Owed After Three Payments

Using the Equation:
Answer: After three payments, Sean still owes $240.

Summary

  • After One Payment: $290 owed
  • After Three Payments: $240 owed
  • General Formula:
This formula allows Sean to calculate the remaining amount owed for any number of payments he makes.

Respondido por UpStudy AI y revisado por un tutor profesional

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Beyond the Answer

After one payment of , Sean will owe .
The amount owed decreases as Sean makes payments over time. For every he pays, the remaining balance reduces by that same amount. So, the equation to calculate the amount owed after making payments is:
After three payments, substituting :
which means Sean will owe after three payments.

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