The table shows the amount of seaweed powder, s, and the amount of fish powder, f, a factory uses to make different quantities of fertilizer.
Amount of
Seaweed Powder, s
(in pounds) Amount of
Fish Powder, f
(in pounds)
21.5 8.6
35.5 14.2
68.5 27.4
81.5 32.6
129.5 51.8
Which equation represents the proportional relationship between the amount of seaweed powder and the amount of fish powder in the fertilizer?
A.
B.
C.
D.
A. f = 0.4s
B. f = 2.5s
C. f = 1.5s
D. f = 0.067s
To determine the equation that represents the proportional relationship between the amount of seaweed powder and the amount of fish powder in the fertilizer, we need to find the constant of proportionality.
The constant of proportionality can be found by dividing the amount of fish powder by the amount of seaweed powder for any pair of values.
For example, using the first pair of values (21.5, 8.6), the constant of proportionality is:
8.6 / 21.5 = 0.4
Doing the same calculation for the other pairs of values gives us:
0.4, 0.4, 0.4, 0.4
Therefore, the equation that represents the proportional relationship between the amount of seaweed powder and the amount of fish powder in the fertilizer is:
A. f = 0.4s