graph: time (min) goes from 0 to 10
graph: water used (gal) goes from 0 to 50
goes thru the origin
dots at 1,2,3,7 and 10 on the graph
the constant of proportionality is:
A: 5
B: 1
C: 2
D: 0
Write an equation that represents this graph. :
A: y=1/5x
B: y=5x
C: y=5
D: y=0
E: y=x
This is a proportional relationship because the y-intercept is:
A: (0, 0)
B: (0, 5)
C: (0, 1/5)
D: (0, 1)
graph: time (min) goes from 0 to 10
graph: water used (gal) goes from 0 to 50
goes thru the origin
dots at 1,2,3,7 and 10 on the graph
the constant of proportionality is:
A: 5
B: 1
C: 2
D: 0
To find the constant of proportionality, we can choose any two points on the graph (for example, (1,5) and (10,50)) and use the formula:
Constant of proportionality = (change in y) / (change in x)
Using points (1,5) and (10,50):
Change in y = 50 - 5 = 45
Change in x = 10 - 1 = 9
Constant of proportionality = 45 / 9 = 5
Therefore, the constant of proportionality is A: 5.
graph: time (min) goes from 0 to 10
graph: water used (gal) goes from 0 to 50
goes thru the origin
dots at 1,2,3,7 and 10 on the graph
Write an equation that represents this graph. :
A: y=1/5x
B: y=5x
C: y=5
D: y=0
E: y=x
To determine the equation that represents the relationship between time and water used, we can use the formula for a proportional relationship: y = kx where k is the constant of proportionality.
Given the points (0,0), (1,5), (2,10), (3,15), (7,35), and (10,50), we see that for every 1 minute, 5 gallons of water are used. This suggests that the equation should be y = 5x.
Therefore, the correct equation that represents the graph is:
B: y = 5x
graph: time (min) goes from 0 to 10
graph: water used (gal) goes from 0 to 50
goes thru the origin
dots at 1,2,3,7 and 10 on the graph
This is a proportional relationship because the y-intercept is:
A: (0, 0)
B: (0, 5)
C: (0, 1/5)