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 fraction form

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the cost of 15 pounds of grapes based on the rate of 4 pounds for $6, we'll first determine the price per pound.

  1. Calculate the price per pound: \[ \text{Price per pound} = \frac{\text{Total price}}{\text{Total pounds}} = \frac{6}{4} = 1.50 \]

So, each pound of grapes costs $1.50.

  1. Calculate the cost for 15 pounds: \[ \text{Cost for 15 pounds} = 15 \times \text{Price per pound} = 15 \times 1.50 = 22.50 \]

Therefore, 15 pounds of grapes would cost $22.50.

  1. Determine the scale factor:
    To find how many times 15 is as much as 4, we divide 15 by 4. \[ \text{Scale factor} = \frac{15}{4} = 3.75 \]

Thus, 15 pounds of grapes is 3.75 times as much as 4 pounds.

Summary:

  • Cost of 15 pounds of grapes: $22.50
  • Scale factor: 3.75 (15 is 3.75 times as much as 4)