Finding Solutions to Systems of Equations

The cost for the marching band to run a car wash as a fundraiser is $20 to use the parking lot and $2 per car. The marching band plans to charge $7 per car.

Graph the line for the income.

The cost for the marching band to run a car wash as a fundraiser is $20 to use the parking lot and $2 per car. The marching band plans to charge $7 per car.

Graph the y-intercept for the cost of running the car wash.

The black line represents the line for the income.

The cost for the marching band to run a car wash as a fundraiser is $20 to use the parking lot and $2 per car. The marching band plans to charge $7 per car.

Select the statement that is NOT true based on the given information.

• The income is proportional.

• The cost is non- proportional because of the $20 fee for use of the parking lot

• The cost has a steeper line.

• One solution can be found by solving 2x+20= 7x.

The cost for the marching band to run a car wash as a fundraiser is $20 to use the parking lot and $2 per car. The marching band plans to charge $7 per car.

How many cars must the band wash to make a profit?

• 4

• At least 5

• Less than 4

The cost to print tote bags to sell to faculty and staff is $150 for the printer fee and $6 per bag. The school plans to sell the tote bags for $15 each.

What is the least number of bags they need to sell to make a profit?

The cost to take pictures at a school dance is $200 for the photographer and $3 per print. The dance committee plans to charge $5 per print.

What equation represents the number of prints they need to sell to break even.

Mathematical Equivalence

ON

Point of intersection:​ (a)   Break-even point: ​ (b)   bookmarks.

At least ​ (c)   bookmarks must be sold to make a profit

• (25, 60)
• (60,25)
• (0,0)
• (0,40)
• 60
• 40
• 0
• 25
• 26

Point of intersection:​ (a)   Break-even point: ​ ​ (b)   bumper stickers.

At least ​ (c)   bumper stickers must be sold to make a profit

• (45, 225)
• (225,45)
• (0,0)
• (0,85)
• 225
• 85
• 0
• 45
• 46

. Ryan and Carla make $50 per week helping a neighbor, and they split the money evenly and add it to their savings accounts. Ryan already has $150 in his account and Carla has $40 in her account from babysitting.

Which of the following is not true?

• Ryan's amount is represented with

  y=25x+150

• Carla's amount is represented with

  y=25x+40

• They earn the same per week and the lines representing there account total will never intersect.

• Carla will always have more money than Ryan.

Damien has saved all of his allowance for a year to pay for guitar lessons and has a total of $550 in savings. His friend Kira is just starting to save and has $50 so far. Each week Damien will pay Kira $25 for a guitar lesson and Kira will save the money in her savings account. In how many weeks will their accounts have the same amount