To determine which statement explains Nico’s error in estimating the cost per pound of blueberries, we can analyze how he might have arrived at the erroneous estimate of $5.00 per pound.
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The actual cost per pound is calculated by dividing the total cost by the total weight: \[ \text{Cost per pound} = \frac{\text{Total Cost}}{\text{Total Weight}} = \frac{15.32}{4.3} \] Now, calculate the exact figure: \[ \text{Cost per pound} = \frac{15.32}{4.3} \approx 3.56 \]
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Nico estimated the cost per pound to be $5.00. This means that in his calculations, he must have arrived at a larger pound value, or a significantly smaller cost.
Now, let’s analyze the statements:
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Option 1: "Nico rounded $15.32 to $15.00 and 4.3 pounds to 6 before dividing."
- This would give: \[ \frac{15.00}{6} = 2.50 \]
- which is incorrect but not $5.00.
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Option 2: "Nico rounded $15.32 to $15.00 and 4.3 pounds to 3 before dividing."
- This would give: \[ \frac{15.00}{3} = 5.00 \]
- This matches his erroneous estimate.
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Option 3: "Nico rounded $15.32 to $16.00 and 4.3 pounds to 4 before dividing."
- This would give: \[ \frac{16.00}{4} = 4.00 \]
- which does not result in a $5.00 estimate.
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Option 4: "Nico rounded $15.32 to $10.00 and 4.2 pounds to 2 before dividing."
- This would give: \[ \frac{10.00}{2} = 5.00 \]
- This also results in a $5.00 estimate, but he did not round the weight to 2 pounds correctly.
Thus, the correct explanation for Nico's error is:
Nico rounded $15.32 to $15.00 and 4.3 pounds to 3 before dividing.
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