Answered

Cantaloupes are on sale at four different grocery stores. Which store offers the lowest unit rate for cantaloupes, in dollars per pound?

- Fresh Farm: [tex]\frac{\$ 4.50}{5 \text{ pounds}}[/tex]
- Fruit Garden: [tex]\frac{\$ \frac{1}{5}}{\frac{1}{3} \text{ pound}}[/tex]
- Mother Nature: [tex]\frac{\$ 4.00}{5 \text{ pounds}}[/tex]
- Country Market: [tex]\$ 0.85 \text{ per pound}[/tex]

A. Fruit Garden
B. Mother Nature
C. Country Market
D. Fresh Farm



Answer :

To determine which store offers the lowest unit rate for cantaloupes in dollars per pound, we need to calculate the unit rate for each store.

1. Fresh Farm Unit Rate:
[tex]\[ \text{Cost} = \$4.50 \quad \text{Weight} = 5 \text{ pounds} \][/tex]
[tex]\[ \text{Unit Rate of Fresh Farm} = \frac{\$4.50}{5 \text{ pounds}} = \$0.90 \text{ per pound} \][/tex]

2. Fruit Garden Unit Rate:
[tex]\[ \text{Cost} = \frac{\$1}{5} \quad \text{Weight} = \frac{1}{3} \text{ pound} \][/tex]
[tex]\[ \text{Unit Rate of Fruit Garden} = \frac{\frac{\$1}{5}}{\frac{1}{3} \text{ pound}} = \frac{1}{5} \times \frac{3}{1} = \frac{3}{5} = 0.60 \text{ dollars per pound} \][/tex]

3. Mother Nature Unit Rate:
[tex]\[ \text{Cost} = \$4.00 \quad \text{Weight} = 5 \text{ pounds} \][/tex]
[tex]\[ \text{Unit Rate of Mother Nature} = \frac{\$4.00}{5 \text{ pounds}} = \$0.80 \text{ per pound} \][/tex]

4. Country Market Unit Rate:
[tex]\[ \text{Unit Rate of Country Market is directly given as} \quad \$0.85 \text{ per pound} \][/tex]

Now, let's compare the unit rates:
- Fresh Farm: \[tex]$0.90 per pound - Fruit Garden: \$[/tex]0.60 per pound
- Mother Nature: \[tex]$0.80 per pound - Country Market: \$[/tex]0.85 per pound

The lowest unit rate is \$0.60 per pound, which is offered by Fruit Garden.

Hence, the grocery store that offers the lowest unit rate for cantaloupes is:
A. Fruit Garden