Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be? 1. How loud a sound is depending on how far away you are
5 85
10 79
20 73
40 67

b. The fountain drinks at hot dog hut.
16 1.49$
20 1.59$
30 1.89$

Note: All of these are tables which you have to find out the constant of proportinolity.
Extra points for good answers!

Table B represent a proportional relationship,where the constant of proportionality is 0.025
Step-by-step explanation:
Table B has a proportionality relationship.Treat the values in table as (x,y) values to be plotted on a graph tool.The result is a linear function with a positive slope of 0.030.The constant of proportionality is 0.030.Given;
Volume cost($)
16 1.49
20 1.59
30 1.89
Then you have ordered pairs of points as (16,1.49) ,(20,1.59), (30,1.89) .Using a graph tool, the results is a linear graph. Find the slope of the graph as;
m=Δy/Δx
For points (16,1.49) ,(20,1.59)
m=1.59-1.49/20-16
m=0.10/4 = 0.025
You notice that the expression for the relationship is;
cost($)= 0.025* Volume +1.09
y=0.025x+ 1.09 where the y-intercept is obtained by extrapolation of the line.

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