Inequality Constraints

A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where t is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?

• 2 ≤ P(t) ≤ 8

• 0 ≤ P(t) ≤ 8

• 10 ≤ P(t) ≤ 17.50

• 0 ≤ P(t) ≤ 17.50

Select all of the points that are a solution to the system of inequalities.

HINT: There are three solutions.

• (10,7)

• (2,7)

• (12,12)

• (20,5)

• (12,14)

Answer explanation

The solutions to a system of inequalities must be inside the shaded area.

Which line represents the money inequality?

Select all of the points that are a solution to the system of inequalities.

HINT: There are three solutions.

• (4 , 20)

• (6 , 13)

• (2 , 17)

• (5 , 14)

• (4 , 12)

Answer explanation

The solutions to a system of inequalities must be inside the shaded area.

Which line represents the items of furniture inequality?

Select all of the points that are a solution to the system of inequalities.

• (7 , 3)

• (3 , 9)

• (5 , 6)

• (4 , 7)

• (3.50 , 7)

Answer explanation

The solutions to a system of inequalities must be inside the shaded area.

Which line represents the peaches inequality?

Select all of the points that are a solution to the system of inequalities.

HINT: There are three solutions.

• (6.5 , 5)

• (10 , 2)

• (5, 10)

• (8 , 3)

• (7 , 4)

Answer explanation

The solutions to a system of inequalities must be inside the shaded area.