Question

Given the table of values above, find a linear equation for y in terms of t.

Answer 1

Given:

find: linear equation for y in terms of t.

Explanation:

`\begin{gathered} m=(\Delta Y)/(\Delta X) \\ =(6)/(8)&(9)/(12) \end{gathered}`
`\begin{gathered} y=mt+c \\ y=(3)/(4)t+c \\ 1=(3)/(4)(16)+c \\ c=-11 \end{gathered}`

so the equation becomes

`\begin{gathered} y=(3)/(4)t-11 \\ 4y=3t-44 \end{gathered}`

Final answer: the required equation is 4y=3t-44.