Model With Equations

Target sold 200 bottles of soda and water for a total of $825 in one day. Each soda was $3.00 and water was $1.25. Which system of equations could be used to find the number of bottles of soda (s) and number of bottles of water (w) that was sold?

Look at the graph of the system of equations: -4x+y=3 and x+y=-2. How can you prove that the point of intersection of the lines on the graph is the solution to both equations?

• Substitute 6 as the x value in each of the equations and solve for y.

• Substitute 7 as the y value in each of the equations and solve for x.

• Substitute -1 as the x value in each of the equations and solve for y.

• Substitute 1 as the y value in each of the equations and solve for x.

Ivan wants to hire an organizer for his office. The graph represents the costs for two different organizing services. Which system of equations is represented by the graph?

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

• Coinciding Lines

• Parallel Lines

• Intersecting but not coinciding lines

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

• Coinciding Lines

• Parallel Lines

• Intersecting but not coinciding lines

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

• Coinciding Lines

• Parallel Lines

• Intersecting but not coinciding lines

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

• Coinciding Lines

• Parallel Lines

• Intersecting but not coinciding lines

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

• Coinciding Lines

• Parallel Lines

• Intersecting but not coinciding lines

How many solutions does the following situation have? Christa earns a salary of $500 each week plus 15% commission. Jasmine earns a salary of $400 plus 10% commission. What would their total sales, s, need to be for both to receive the same total pay, p?

• No solution

• Infinitely many solutions

• One solution

How many solutions does the following situation have? Jodie opens a savings account with $50, and he adds $10 per month. Julie opens a savings account at the same time and at the same rate. She opens the account with $75 and adds $10 per month. After how many months, m, will both accounts have the same balance, b?

• No solution

• Infinitely many solutions

• One solution