Question

According to the graph, what is the value of the constant in the equation

below?
Height = Constant . Width
• (6, 15)
Height
10-
(3,9)
6+
(2,6)
2 to (0.5, 1.5)
-
4
6
14 16 18 20
8 10 12
Width

Answer 1

I had done this on A P E X and it said it was 80

Answer 2

The value of the constant is 3

Explanation:

Let

y ----> the height

x ----> the width

we have

`y=kx`

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

`k=(y)/(x)`

For (0.5,1.5) ---->
`k=(1.5)/(0.5)=3`

For (2,6) ---->
`k=(6)/(2)=3`

For (3,9) ---->
`k=(9)/(3)=3`

therefore

The value of k is equal to 3

The linear equation is

`y=3x`

or

`Height=3Width`