In a proportional relation, the intercept of the graph is the origin as given
in the graph of the question.
The function that represents Walter's situation is the option;
Reasons:
The points in the graph of the question, obtained from similar question
online are;
(1, 8), (2, 16), (3, 24)
The slope of the graph is therefore;
[tex]\displaystyle Slope, \, m = \mathbf{\frac{24 - 8}{3 - 1}} = 8[/tex]
The equation of the graph in point and slope form is; y - 8 = 8·(x - 1)
Which gives;
y = 8·x - 8 + 8
y = 8·x
Therefore;
The graph of Walter's situation obtained from a similar question, which shows the number of hours of sleep in relation to the number of days is attached.
The options are;
A.) y = 6·x
B.) y = 6
C.) y = 8
D.) y = 8·x
Learn more about functions of linear and proportional relationships here:
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