Question

I need help with what to fill the box’s in?

Answer 1

T = 2.5

T = 5.5

G = 11.5

G = 14.5

Step-by-step explanation:
`\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}`

From the table:

We need to find Tina's age when Gary was 7 years

Using the equation:

`\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}`

When G = 10, T = ?

`\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}`

When T = 7, G = ?

`\begin{gathered} G\text{ =T + 4.5} \\ G\text{ = 7 + 4.5} \\ G\text{ = 11.5} \end{gathered}`

when T = 10, G = ?

`\begin{gathered} G\text{ = 10 + 4.5} \\ G\text{ = 14.5} \end{gathered}`