Answer :
T = 2.5
T = 5.5
G = 11.5
G = 14.5
Explanation:[tex]\begin{gathered} \text{The equation relating Gary and Tina's age:} \\ G\text{ = T + 4.5} \\ \text{where G = Gary's age} \\ T\text{ = Tina's age} \end{gathered}[/tex]From the table:
We need to find Tina's age when Gary was 7 years
Using the equation:
[tex]\begin{gathered} G\text{ = 7, T = ?} \\ G\text{ = T + 4.5} \\ 7\text{ = T + 4.5} \\ 7\text{ - 4.5 = T} \\ T\text{ = 2.5} \end{gathered}[/tex]When G = 10, T = ?
[tex]\begin{gathered} 10\text{ = T + 4.5} \\ \text{substract 4.5 from both sides:} \\ 10\text{ -4.5 = T} \\ T\text{ = 5.5} \end{gathered}[/tex]When T = 7, G = ?
[tex]\begin{gathered} G\text{ =T + 4.5} \\ G\text{ = 7 + 4.5} \\ G\text{ = 11.5} \end{gathered}[/tex]when T = 10, G = ?
[tex]\begin{gathered} G\text{ = 10 + 4.5} \\ G\text{ = 14.5} \end{gathered}[/tex]