Question

Darius is 6 years younger than his brother Ty. Represents the relationship between the brother’s ages.
Complete the table and write the equation used to represent that relationship.
Darius’ age, x Ty’s age, y
0 __
6 __
10 __
12 __
Equation: X = Y - 6

Answer 1

To represent the relationship between Darius's age (x) and Ty's age (y), we use the information that Darius is 6 years younger than Ty. This can be expressed mathematically with the equation:

\[ y = x + 6 \]

Using this equation, we can fill in the table for Ty's age based on Darius's age:

\[
\begin{array}{|c|c|}
\hline
\text{Darius' age } (x) & \text{Ty's age } (y) \\
\hline
0 & 6 \\
6 & 12 \\
10 & 16 \\
12 & 18 \\
\hline
\end{array}
\]

So, the completed table showing Ty's age based on Darius's age is:

\[
\begin{array}{|c|c|}
\hline
\text{Darius' age } (x) & \text{Ty's age } (y) \\
\hline
0 & 6 \\
6 & 12 \\
10 & 16 \\
12 & 18 \\
\hline
\end{array}
\]

In summary, the equation used to represent their relationship is:

\[ y = x + 6 \]