Answer:
33
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
[tex]h(x)=kx[/tex]
Find the value of the constant of proportionality k
[tex]k=h/x[/tex]
we have
For x=2, h=44
substitute
[tex]k=44/2=22[/tex]
The linear equation is
[tex]h(x)=22x[/tex]
so
For x=1.5
substitute the value of x in the linear equation and solve for h(x)
[tex]h(1.5)=22(1.5)[/tex]
[tex]h(1.5)=33[/tex]
