Question

using the graph,find the value of the constant in the equation below.if necessary,round your answer to the nearest integer (Picture Attached)

Answer 1

Constant = 80

Explanation:

Given: The graph showing the relationship between the height and width.

We have to find the value of the constant.

Consider the given graph.

`\text{height}=\frac{\text{constant}}{\text{width}}`

Since, the given relationship between the height and width are inversely proportional to each other.

Inversely proportional is the relationship where when the value of one variable increases the value of other variable decreases.

Here, as the width increases the height decreases.

Thus, For given point (10,8) the value of constant is given by

`8=\frac{\text{constant}}{10}`

Cross multiply, we have,

Constant is 80

And this constant is same throughout for all values.

Thus, Constant = 80

Answer 2

The equation is the form:
Height = Constant / Width

There are several points that can be used to determine the constant. Picking out one which is (4,20)
20 = Constant / 4
Constant = 4(20)
Constant = 80

The constant is 80.