Cooper is working two summer jobs, making $19 per hour lifeguarding and making $10 per hour clearing tables. In a given week, he can work no more than 14 total hours and must earn a minimum of $180. Also, he must work a minimum of 9 hours lifeguarding and no more than 3 hours clearing tables. If xx represents the number of hours lifeguarding and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

step-by-step explanation:

d would equal 12

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