To determine the cost of 15 pounds of grapes at the same rate as 4 pounds for $6, we can first find the price per pound of grapes.
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Calculate the price per pound: \[ \text{Price per pound} = \frac{\text{Total price}}{\text{Total weight}} = \frac{6}{4} = 1.5 \text{ dollars per pound} \]
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Calculate the cost for 15 pounds: \[ \text{Cost for 15 pounds} = \text{Price per pound} \times \text{Weight} = 1.5 \times 15 = 22.5 \text{ dollars} \]
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Finding the scale factor: To find how many times 15 is as much as 4, we can calculate: \[ \text{Scale factor} = \frac{15}{4} = 3.75 \]
Thus, at the rate given, 15 pounds of grapes would cost $22.50 and 15 is 3.75 times as much as 4.
Final summary:
- Cost for 15 pounds: $22.50
- Scale factor: 3.75