Math Problem Statement

Andre and Noah start tracking their savings at the same time. Andre starts with $15 and deposits $5 per week. Noah starts with $2.50 and deposits $7.50 per week.

Write the equation for Andre's savings.

Solution

To represent Andre's savings mathematically, we can create a linear equation.

Andre starts with an initial amount of $15, and he deposits an additional $5 per week. Let A(t)A(t) represent Andre's savings after tt weeks, where tt is the number of weeks. The equation is:

A(t)=15+5tA(t) = 15 + 5t

Where:

  • 1515 is the initial amount.
  • 5t5t represents the total amount deposited after tt weeks, with 55 being the deposit per week.

Would you like to compare this to Noah’s savings equation or solve related questions?

Here are some related questions:

  1. How much will Andre save after 10 weeks?
  2. After how many weeks will Andre save $100?
  3. What is the total amount Andre saves in 6 months (assuming 4 weeks per month)?
  4. Write Noah's savings equation and compare it to Andre's.
  5. How many weeks will it take for Andre to have more savings than Noah?

Tip: Visualizing the equations with a graph can help compare savings over time!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 6-8