2.10.1 Writing an Inequality to Represent a Constraint

Algebra 12.10.1 Writing an Inequality to Represent a Constraint

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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.

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

Compare your answer:

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

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

Compare your answer:

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

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