Question

Use the table to determine the relationship between yards and feet.

Yards Feet
1 3
2 ?
3 ?
4 ?

Which of the following graphs matches the relationship shown in the table?


W.
X.

Y.
Z.
A.
W
B.
Y
C.
X
D.
Z

Answer 1

To determine the relationship between yards and feet based on the given table, we start with the conversion factor that 1 yard is equal to 3 feet. Therefore, we can fill out the remaining values:

- For 2 yards: \( 2 \times 3 = 6 \) feet
- For 3 yards: \( 3 \times 3 = 9 \) feet
- For 4 yards: \( 4 \times 3 = 12 \) feet

The completed table is:

| Yards | Feet |
|-------|------|
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |

The relationship is linear, where the number of feet is equal to the number of yards multiplied by 3. This can be represented by the equation:

\[
\text{Feet} = 3 \times \text{Yards}
\]

Now, to match this relationship with the graphs provided (W, X, Y, Z), we need to identify a graph that shows a straight line with a slope of 3, starting from the origin (0,0).

- A straight line indicates a linear relationship.
- A slope of 3 means that for every 1 unit increase in yards, the feet increase by 3 units.

Without the visual representations of the graphs available, I would suggest selecting the graph that has a steep upward trajectory consistent with a slope of 3.

If you can describe the graphs or provide their characteristics, I can assist further in determining which one matches this relationship. Otherwise, based on the explanation above, you can choose the graph that represents a linear progression with the correct slope.