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Writing an Inequality to Represent a Constraint

2.10.1 Writing an Inequality to Represent a Constraint

2.10.1 • Writing an Inequality to Represent a Constraint

Warm Up

Kiran is getting dinner for his drama club on the evening of their final rehearsal. He plans to buy some prepared dishes from a supermarket.

  • The budget for the dinner is $60.
  • The prepared dishes are sold by the pound, at $5.29 per pound.
  • He also plans to buy two large bottles of sparkling water at $2.49 each.
1.

Represent the constraints in the situation mathematically. If you use variables, specify what each one means.

Compare your answer:

5.29p+2(2.49)≤605.29p+2(2.49)≤60, or 5.29p+4.98≤605.29p+4.98≤60. pp is the pounds of prepared foods Kiran could buy without going over budget.

2.

How many pounds of prepared dishes can Kiran buy? Be prepared to show your reasoning.

Compare your answer:

Up to 10.4 pounds, or p≤10.4p≤10.4. For example: After removing the cost of sparkling water, Kiran still has $55.02. Dividing that amount by 5.29 gives 10.4.