A grocery store sells 4 pounds of grapes for $6. How much would 15 pounds of grapes cost at this rate?

Find the scale factor. 15 is how many times as much as 4?
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Pounds of Grapes Price
4 $6
15

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.

  1. Calculate the price per pound: \[ \text{Price per pound} = \frac{\text{Total price}}{\text{Total weight}} = \frac{6}{4} = 1.5 \text{ dollars per pound} \]

  2. Calculate the cost for 15 pounds: \[ \text{Cost for 15 pounds} = \text{Price per pound} \times \text{Weight} = 1.5 \times 15 = 22.5 \text{ dollars} \]

  3. 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