Question

at a grocery store, blueberries come packaged in 8-ounce containers for $2.80. at a farmer’s market, blueberries cost $4.20 for 14 ounces. there are 16 ounces in one pound. which statement accurately compares the cost of blueberries?
blueberries are $0.80 per pound less expensive at the farmer’s market.
blueberries are $0.23 per pound more expensive at the farmer’s market.
blueberries are $1.40 per pound more expensive at the farmer’s market.
blueberries are $0.50 per pound less expensive at the farmer’s market.

Explanation:

Step1: Calculate cost per ounce at grocery store

To find the cost per ounce at the grocery store, we divide the total cost by the number of ounces. The cost is $2.80 for 8 ounces. So, the cost per ounce, \( c_{grocery} \), is calculated as:

$$ c_{grocery}=\frac{2.80}{8} = 0.35 \text{ dollars per ounce} $$

Step2: Calculate cost per ounce at farmer's market

For the farmer's market, the cost is $4.20 for 14 ounces. The cost per ounce, \( c_{farmer} \), is:

$$ c_{farmer}=\frac{4.20}{14}= 0.30 \text{ dollars per ounce} $$

Step3: Convert cost per ounce to cost per pound

Since there are 16 ounces in a pound, we multiply the cost per ounce by 16 to get the cost per pound.

• For grocery store: \( 0.35\times16 = 5.60 \) dollars per pound.
• For farmer's market: \( 0.30\times16 = 4.80 \) dollars per pound.

Step4: Find the difference in cost per pound

Subtract the cost per pound at the farmer's market from the cost per pound at the grocery store: \( 5.60 - 4.80 = 0.80 \) dollars per pound. This means blueberries are $0.80 per pound less expensive at the farmer's market.

Answer:

Blueberries are $0.80 per pound less expensive at the farmer’s market. (The first option)