Question

6.

Darius is 6 years younger than his brother Ty. Represent the relationship between
the brother's ages.

Complete the table and write the equation used to represent that relationship.
(5 points)

Darius' age, x
0

6

10

12

Ty's age, y

6

12

16
1Q

Answer 1

To represent the relationship between Darius' age (x) and Ty's age (y), we know from the problem that Darius is 6 years younger than his brother Ty. This can be expressed as:

\[ y = x + 6 \]

Where:
- \( y \) = Ty's age
- \( x \) = Darius' age

Now we can complete the table based on the given values of Darius' age (x):

| Darius' age (x) | Ty's age (y) |
|------------------|---------------|
| 0 | 6 |
| 6 | 12 |
| 10 | 16 |
| 12 | 18 |

To calculate Ty's age for \( x = 12 \):

\[
y = 12 + 6 = 18
\]

Thus, the completed table is:

| Darius' age (x) | Ty's age (y) |
|------------------|---------------|
| 0 | 6 |
| 6 | 12 |
| 10 | 16 |
| 12 | 18 |

The equation that represents the relationship is:

\[
y = x + 6
\]