Question

Use the equation to complete the table.dt= = -22373023169d tt

Answer 1

Completing the table, we have;

`\begin{gathered} d\text{ 37 30 23 16 9} \\ t\text{ }(33)/(2)\text{ 13 }(19)/(2)\text{ 6 }(5)/(2) \end{gathered}`

Step-by-step explanation:

Given the equation;

`t=(d)/(2)-2`

we want to get the corresponding values of t at each value of d;

let's substitute each of the values of d into the equation and solve for t;

`\begin{gathered} at\text{ d=37;} \\ t=(37)/(2)-2=(37-4)/(2) \\ t=(33)/(2) \end{gathered}`
`\begin{gathered} at\text{ d=30;} \\ t=(30)/(2)-2=15-2 \\ t=13 \end{gathered}`
`\begin{gathered} at\text{ d=23;} \\ t=(23)/(2)-2=(23-4)/(2) \\ t=(19)/(2) \end{gathered}`
`\begin{gathered} at\text{ d=16;} \\ t=(16)/(2)-2=8-2 \\ t=6 \end{gathered}`
`\begin{gathered} at\text{ d=9;} \\ t=(9)/(2)-2=(9-4)/(2) \\ t=(5)/(2) \end{gathered}`

Therefore, completing the table, we have;

`\begin{gathered} d\text{ 37 30 23 16 9} \\ t\text{ }(33)/(2)\text{ 13 }(19)/(2)\text{ 6 }(5)/(2) \end{gathered}`