Math Problem Statement

its a multiple choice question

Solution

Let's re-evaluate the points given for the multiple-choice question to determine which of them lie on the line representing Steven's savings account balance over time. The equation of the line is:

Balance=400×Month\text{Balance} = 400 \times \text{Month}

We will check each point to see if it satisfies this equation:

  1. For (22, 8400): Balance=400×22=8800\text{Balance} = 400 \times 22 = 8800 840088008400 \neq 8800 So, (22, 8400) does not lie on the line.

  2. For (23, 9200): Balance=400×23=9200\text{Balance} = 400 \times 23 = 9200 9200=92009200 = 9200 So, (23, 9200) lies on the line.

  3. For (24, 8800): Balance=400×24=9600\text{Balance} = 400 \times 24 = 9600 880096008800 \neq 9600 So, (24, 8800) does not lie on the line.

  4. For (26, 10400): Balance=400×26=10400\text{Balance} = 400 \times 26 = 10400 10400=1040010400 = 10400 So, (26, 10400) lies on the line.

  5. For (27, 10600): Balance=400×27=10800\text{Balance} = 400 \times 27 = 10800 106001080010600 \neq 10800 So, (27, 10600) does not lie on the line.

Therefore, the points that lie on the resulting line are:

  • (23, 9200)
  • (26, 10400)

Would you like more details or have any questions about this?

Here are 5 numbered questions you can ask:

  1. How do you find the slope of a line from two points?
  2. What is the importance of the y-intercept in a linear equation?
  3. How can you use linear equations to make predictions?
  4. How do you interpret the slope in the context of real-life problems?
  5. What are some common mistakes to avoid when working with linear equations?

Tip: When dealing with linear equations, always check your calculations by substituting points back into the equation to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Coordinate Geometry

Formulas

Equation of a line: y = mx + c

Theorems

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Suitable Grade Level

Grades 7-9