Let's first determine the cost of 1 ounce of paprika based on the given information.
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Cost of Paprika per 25 grams: The cost for 25 grams of paprika is $2.75.
The cost per gram is: \[ \frac{2.75}{25} = 0.11 \text{ dollars/gram} \]
To find the cost per ounce, we convert ounces to grams: \[ 1 \text{ ounce} = 28 \text{ grams} \]
So, the cost per ounce is: \[ 28 \text{ grams} \times 0.11 \text{ dollars/gram} = 3.08 \text{ dollars/ounce} \]
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Cost of buying \( x \) ounces of paprika: The cost of buying \( x \) ounces is: \[ \text{Cost} = 3.08x \]
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Shipping Cost: The store charges 5% shipping on the purchase price, so the shipping cost is: \[ \text{Shipping Cost} = 0.05 \times (\text{Cost}) = 0.05(3.08x) \] Simplifying, we get: \[ \text{Shipping Cost} = 0.154x \]
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Total Cost: The total cost of buying \( x \) ounces of paprika, including shipping, is: \[ \text{Total Cost} = \text{Cost} + \text{Shipping Cost} = 3.08x + 0.154x \] Combining the terms: \[ \text{Total Cost} = (3.08 + 0.154)x = 3.234x \]
Now we can find the total cost when \( x = 2.5 \) ounces:
\[ \text{Total Cost} = 3.234 \times 2.5 \]
Calculating this gives: \[ \text{Total Cost} = 8.085 \]
So, the total cost of buying 2.5 ounces of paprika and shipping it would be $8.085.
Comparison with $8.00:
The total cost of $8.085 is more than $8.00.
Conclusion:
No, a customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00. The total cost would be $8.085, which exceeds $8.00.
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