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 $0.23 per pound more expensive at the farmer’s market. blueberries are $0.80 per pound less 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

Similarly, 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 the grocery store:
$$\text{Cost per pound (grocery)} = 0.35\times16 = 5.60\text{ dollars per pound}$$

For the farmer's market:
$$\text{Cost per pound (farmer's market)} = 0.30\times16= 4.80\text{ dollars per pound}$$

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 to find how much less expensive (or more) the farmer's market is:
$$5.60 - 4.80= 0.80\text{ dollars per pound}$$
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 option corresponding to this statement)