Let us plot the graph of value ($) against years
The general form for the linear equation is,
[tex]y=ax+b[/tex]
where,
[tex]\begin{gathered} a=-4457.14 \\ b=38809.5 \end{gathered}[/tex]
Hence, the equation that fits the data is
[tex]y=-4457.14x+38809.5[/tex]
Let us now solve for the trailer's value in 7 years.
[tex]\begin{gathered} x=7 \\ \therefore y=-4457.14(7)+38809.5=7609.52\approx7609.50(1\text{ decimal place)} \\ \therefore y_{7yrs}=\text{ \$}7609.50 \end{gathered}[/tex]
Hence, the answer is
[tex]y_{7yrs}=\text{ \$}7609.50\text{ (OPTION }3)[/tex]
