The line representing a proportional relationship always goes through the point (0,0). If x is zero, multiplying x by the constant will always give you 0 for y. Try it with our ice cream example. Make the independent variable, number of scoops, 0. The constant is 2. 0 × 2 = 0. The dependent variable is also 0.
What other point will appear on the line representing this proportional relationship where the constant of proportionality is 2?
A
(1,3)
B
(2, 4)
C
(2, 2)
D
(4, 2)
D
(4, 2)
The other point that will appear on the line representing this proportional relationship where the constant of proportionality is 2 is option D, which is (4, 2).
To find the other point on the line representing the proportional relationship where the constant of proportionality is 2, we can use the fact that in a proportional relationship, the ratio of the dependent variable (y) to the independent variable (x) is always constant.
So, let's consider the given options and calculate the ratios for each one:
Option A: (1, 3)
Ratio = y/x = 3/1 = 3
Option B: (2, 4)
Ratio = y/x = 4/2 = 2
Option C: (2, 2)
Ratio = y/x = 2/2 = 1
Option D: (4, 2)
Ratio = y/x = 2/4 = 0.5
Since the constant of proportionality is 2, the only option where the ratio matches the constant is Option B: (2, 4).
Therefore, the other point on the line representing this proportional relationship is (2, 4).