Kevin is told that for a particular math problem, the value of y

Question

is always 32 times the value of x
. Kevin writes the equation  y=32x
 to show the relationship between x
and y
. What is the constant of proportionality?(1 point)
The constant of proportionality is If a graph is proportional, what characteristic does it display?(1 point)
Responses

It will pass through the point (0, 0)
. 
It will pass through the point Left Parenthesis 0 comma 0 Right Parenthesis . 

It will climb rapidly, indicating a steep slope.
It will climb rapidly, indicating a steep slope.

It will have y
-values larger than their corresponding x
-values.
It will have y -values larger than their corresponding x -values.

It will curve.
It will curve.

Answer 1

The constant of proportionality in the equation \(y = 32x\) is 32. This means that for every unit increase in \(x\), \(y\) increases by 32 units.

In terms of the graph of a proportional relationship, the characteristic it displays is that it will pass through the point (0, 0). This is because a proportional relationship is defined by the ratio of \(y\) to \(x\) being constant, which leads to the origin being a point on the graph.