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 fraction form

Answer 1

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.

2. **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**.

3. **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)