Question

Comparing Relationships with Tables

Answer 1

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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