Respuesta :
Answer:
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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]
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
[tex]y=kx[/tex]
we have that
[tex]k=230[/tex] ----> the constant is equal to the slope
substitute
[tex]y=230x[/tex] ----> 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
[tex]4,370=230(19)[/tex]
[tex]4,370=4,370[/tex] ----> is true
therefore
The point lie on the graph
case B) (18,3,960)
For x=18, y=3,960
substitute in the equation
[tex]3,960=230(18)[/tex]
[tex]3,960=4,140[/tex] ----> 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
[tex]4,730=230(18)[/tex]
[tex]4,730=4,140[/tex] ----> 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
[tex]3,960=230(19)[/tex]
[tex]3,960=4,370[/tex] ----> is not true
therefore
The point does not lie on the graph
Answer:
It would be A
Step-by-step explanation:
its not the same for everyone but the number is (19, 4,370)
