Question

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?
×
Pounds of Grapes Price
4 $6
15

Answer 1

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