Lesson 18: Representing Situations with

Inequalities

Cool Down: Grape Constraints

Han has a budget of $25 to buy grapes. Write inequalities to represent the number of

pounds of grapes that Han could buy in each situation

1. Grapes cost $1.99 per pound.

2 Grapes cost $2.49 per pound.

3. Grapes cost $c per pound

1. 1.99x ≤ 25

2. 2.49x ≤ 25

3. cx ≤ 25

Step-by-step explanation:

1. The budget of Han to buy Grape is $25.

Now, if he buys x pounds of grapes at the rate of $1.99 per pound, then the inequality that represents the number of pounds of grapes that Han can buy will be given by

1.99x ≤ 25 (Answer)

2. The budget of Han to buy Grape is $25.

Now, if he buys x pounds of grapes at the rate of $2.49 per pound, then the inequality that represents the number of pounds of grapes that Han can buy will be given by

2.49x ≤ 25 (Answer)

3. The budget of Han to buy Grape is $25.

Now, if he buys x pounds of grapes at the rate of $c per pound, then the inequality that represents the number of pounds of grapes that Han can buy will be given by

cx ≤ 25 (Answer)