A scatterplot shows height of plant versus weeks. The x-axis shows weeks ranging from 0 to 6 in increments of 1. The y-axis shows height of plant in inches ranging from 0 to 6 in increments of 1. The data points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis, and left parenthesis 3 comma right 6 parenthesis.
The graph shows the height of a plant, y
y
, based on the number weeks, x
x
. Determine if this is a proportional or nonproportional situation. State the reason for your answer.
(1 point)
Responses
The situation is proportional, because it increases every week.
The situation is proportional, because it increases every week.
The situation is nonproportional, because y≠0
y
≠
0
when x=0
x
=
0
.
The situation is nonproportional, because y is not equal to 0 when x equals 0 .
The situation is nonproportional, because the line goes through the origin.
The situation is nonproportional, because the line goes through the origin.
The situation is proportional, because the line goes through the origin.
1 answer
The situation is proportional, because the line goes through the origin.
In a proportional relationship, the ratio of y to x is constant, and the line representing the data passes through the origin (0,0). Since the given data points include (0,0) and form a straight line with a consistent increase in height corresponding to the increase in weeks, it indicates a proportional relationship.
