Ahigh school student has started a new business making and selling bumper stickers. the graph shows the break-even point for the business.

1. identify the following on the graph and explain the meaning of each for the business:
• cost equation
• revenue equation
• break-even point

2. how would the graph change if the price of each bumper sticker was lowered? if the price was increased?

3. what advice would you give this business owner? explain.

it would be 6xy and -16xy.

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74