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)

Option A. (19, 4,370)

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

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

we have that

----> the constant is equal to the slope

substitute

----> 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

----> is true

therefore

The point lie on the graph

case B) (18,3,960)

For x=18, y=3,960

substitute in the equation

----> 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

----> 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

----> is not true

therefore

The point does not lie on the graph

24 units

step-by-step explanation: