Question

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

Answer 1

Answer:

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)

Answer 2

If grapes cost $1.99, the inequality would be 25 / 1.99 = X, if grapes cost $2.49, the inequality would be 25 / 2.49 = X, and if grapes cost $c, the inequality would be 25 / C = X.

Given that Han has a budget of $ 25 to buy grapes, to determine the number of pounds of grapes that Han could buy if 1) grapes cost $ 1.99 per pound; 2) grapes cost $ 2.49 per pound; and 3) grapes cost $ c per pound, the following inequalities must be raised:

1)

• 25 / 1.99 = X
• 12.56 = X
• Therefore, Han could buy 12.56 pounds of grapes.

2)

• 25 / 2.49 = X
• 10.04 = X
• Therefore, Han could buy 10.04 pounds of grapes.

3)

25 / C = X

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