Completing a Problem

A 2-column table with 4 rows. Column 1 is labeled yards with entries 2, 5, 7, 15. Column 2 is labeled Feet with entries 6, 15, 21, question mark.

Use the table to complete the work and find the missing value.

5 yards = 15 feet

StartFraction 5 yards Over 15 feet EndFraction = StartFraction 15 yards Over question mark feet EndFraction

15 yards =
feet

1 answer

To complete the problem using the information provided in the table and the relationship between yards and feet, we can first understand the conversion factor between yards and feet.

From the problem, we know:

  • 5 yards is equivalent to 15 feet.

To find out how many feet are in 15 yards, we can use the conversion factor. We know:

\[ 5 \text{ yards} = 15 \text{ feet} \]

We can find the number of feet for 1 yard by dividing both sides by 5:

\[ 1 \text{ yard} = \frac{15 \text{ feet}}{5} = 3 \text{ feet} \]

Now, to find out how many feet are in 15 yards, we can multiply the number of yards by the conversion factor:

\[ 15 \text{ yards} = 15 \times 3 \text{ feet} = 45 \text{ feet} \]

Thus, the missing value in the second column (Feet) when there are 15 yards is:

\[ \text{15 yards = 45 feet} \]

So the completed table would look like this:

| Yards | Feet | |-------|------| | 2 | 6 | | 5 | 15 | | 7 | 21 | | 15 | 45 |

Therefore, the missing value is:

\[ \text{15 yards} = 45 \text{ feet} \]