Suppose that h(x)varies directly with(x) and h= 44 when x = 2.
what is h (2) when x = 1.5?

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 or

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

Find the value of the constant of proportionality k

we have

For x=2, h=44

substitute

The linear equation is

so

For x=1.5

substitute the value of x in the linear equation and solve for h(x)

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

2

step-by-step explanation: