We will pick two coordinates points on the graph
The coordinates point are ( 5, 150,000) and (10, 185,000)
We will make use of the equation of a straight line
[tex]\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=5 \\ y_1=150,000 \\ x_2=10 \\ y_2=185,000 \end{gathered}[/tex]
Substitute into the formula
[tex]\begin{gathered} \frac{y-150000}{185000-150000}=\frac{x-5}{10-5} \\ \\ \frac{y-150000}{35000}=\frac{x-5}{5} \\ \\ 5(y-150000)=35000(x-5) \\ y-150000=7000(x-5) \\ y=150000+7000x-35000 \\ y=7000x+115000 \end{gathered}[/tex][tex]p=f(h)=7000h+115000[/tex]
Observe y=p=f(h) and h=x
