Which function shows a fabric with a price of $1.25 per square yard?

Question

A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $1.25, $2.00, $2.75, $3.50.
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $0.25, $1.25, $2.25, $3.25.
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (5, 4) and ends (10, 8).
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (4, 5) and ends (8, 10).

Answer 1

To determine which function shows a fabric with a price of $1.25 per square yard, you need to look for a consistent unit price of $1.25 per square yard.

Let's analyze each option:

1. **First Table**:
- Square Yards: 1, 2, 3, 4
- Price: $1.25, $2.00, $2.75, $3.50
- Check unit price:
- For 1 square yard: $1.25
- For 2 square yards: $2.00 ($2.00 / 2 = $1.00 per yard)
- Not consistent.

2. **Second Table**:
- Square Yards: 1, 2, 3, 4
- Price: $0.25, $1.25, $2.25, $3.25
- Check unit price:
- For 1 square yard: $0.25
- For 2 square yards: $1.25 ($1.25 / 2 = $0.625 per yard)
- Not consistent.

3. **First Coordinate Plane**:
- Line passes through points (0, 0), (5, 4), and (10, 8).
- Slope (which represents the price per square yard):
- From (0,0) to (5,4): \( (4-0) / (5-0) = 4/5 = 0.80 \) dollars per yard, not $1.25.
- Not consistent.

4. **Second Coordinate Plane**:
- Line passes through points (0, 0), (4, 5), and (8, 10).
- Slope (which represents the price per square yard):
- From (0,0) to (4,5): \( (5-0) / (4-0) = 5/4 = 1.25 \) dollars per yard.
- Consistent.

The fourth option, the second coordinate plane showing a line that starts at (0, 0) and passes through (4, 5) and ends (8, 10), correctly represents a fabric with a price of $1.25 per square yard.