Comparing Relationships with Tables
1. Decide whether each table could represent a proportional relationship.
If the relationship could be proportional, what would the constant of
proportionality be?
a. How loud a sound is depending on how far
Distance to
away you are.
Listener (ft)
Sound Level
(dB)
85
79
10
20
40
73
67
Cost
b. The cost of fountain drinks at Hot Dog Hut.
Volume
(fluid ounces)
($)
$1.49
20
$1.59
$1.89
30

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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msangh2195 msangh2195 · Answer 2 · 2021-03-12T18:55:28+01:00

msangh2195 msangh2195

12-03-2021

Answer:the guy that wrote is correct

Step-by-step explanation:

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