Linear Programming — Cumulative exam Answers

The sum of two numbers is 28. The first number, x, is three times the second number, y.

A piecewise function is defined as shown.

Solve.5x – 10 ≤ 20

Solve.2a + 4 > 12

Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses cup of oil and 2 eggs. For a tray of bran muffins, Alan uses cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and y represent the number of trays of bran muffins Alan bakes. What are the constraints for the problem?

The graph represents this system of equations.

Which value is in the domain of f(x)?f(x) =

The constraints of a problem are graphed below. What are the vertices of the feasible region?

A gym offers three levels of membership based on the number of visits per month, as represented by the table.Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

A family has $35 to spend on dinner. They spend $18 on entrees. Side dishes are $3 each. What is the greatest number of side dishes they can buy?