Question

2
Draw and use a double number line diagram to model and solve the given problem.

Sam wanted to buy fruit for all of his friends to share at lunch. One pound of apples cost $6.95, but Sam only needs 0.6 of a pound. What will be the total cost for the apples Sam buys?
A.
$4.17
B.
$2.78
C.
$4.20
D.
$11.58
Reset Submit

Answer 1

To solve Sam's problem using a double number line diagram, we can set up two parallel lines to represent the relationship between the weight of apples and their cost.

1. **Draw the Double Number Line:**
- On the top line, list the weight of apples in pounds (0, 1, 2 pounds, etc.).
- On the bottom line, list the cost of apples in dollars (starting from 0, then 6.95, 13.90, etc.).

Here’s a simplified version of the double number line:

```
Weight (lbs): 0 0.6 1 2
Cost ($): 0 4.17 6.95 13.90
```

2. **Determine the Cost for 0.6 pounds:**
- Since 1 pound costs $6.95, we can find the cost for 0.6 pounds by multiplying the cost per pound by 0.6.
- Cost for 0.6 pounds = \( 0.6 \times 6.95 \)

3. **Calculate:**
\[
Cost = 0.6 \times 6.95 = 4.17
\]

So, the total cost for the apples Sam buys is **$4.17**.

The correct answer is **A. $4.17**.