Given data:
The given table.
The expression for given table can be written as,
[tex]t(p)=a+bp[/tex]
Substitute the given ( 1,6) in the above expression.
[tex]\begin{gathered} 6=a+b(1) \\ b=6-a \end{gathered}[/tex]
Substitute (5, 20.4) in the expression.
[tex]20.4=a+5b[/tex]
Substitute (6-a) in above expression.
[tex]\begin{gathered} 20.4=a+5(6-a)) \\ -9.6=-4a \\ a=2.4 \end{gathered}[/tex]
The value of b is,
[tex]\begin{gathered} b=6-2.4 \\ =3.6 \end{gathered}[/tex]
The expression is t(p)=3.6p+2.4.
Thus, the third option is correct.
