Question

The slope of a graph representing the number of calories that Chad burns (y-axis) with respect to the number of times he works out (x-axis) is 230. Which point will lie on the graph? A. (19, 4,370) B. (18, 3,960) C. (18, 4,730) D. (19, 3,960)

Answer 1

It would be A

Explanation:

its not the same for everyone but the number is (19, 4,370)

Answer 2

Option A. (19, 4,370)

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

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

The relationship between the number of calories that Chad burns (y-axis) with respect to the number of times he works out (x-axis) represent a proportional variation

so

`y=kx`

we have that

`k=230` ----> the constant is equal to the slope

substitute

`y=230x` ----> linear equation that represent the situation

If a point lie on the graph, the the point must satisfy the linear equation

Verify each case

case A) (19,4,370)

For x=19, y=4,370

substitute in the equation

`4,370=230(19)`

`4,370=4,370` ----> is true

therefore

The point lie on the graph

case B) (18,3,960)

For x=18, y=3,960

substitute in the equation

`3,960=230(18)`

`3,960=4,140` ----> is not true

therefore

The point does not lie on the graph

case C) (18,4,730)

For x=18, y=4,730

substitute in the equation

`4,730=230(18)`

`4,730=4,140` ----> is not true

therefore

The point does not lie on the graph

case D) (19,3,960)

For x=19, y=3,960

substitute in the equation

`3,960=230(19)`

`3,960=4,370` ----> is not true

therefore

The point does not lie on the graph