Option B is the table which could represent the given situation.
What is a linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
According to the question
A pool charges $7 for 2 daily pool passes.
Using the linear equation y = mx + b
Substitute x = 2, y = 7
[tex]7 = 2m + b[/tex].....(1)
Substitute x = 4, y = 14
[tex]14 = 4m + b[/tex] .....(2)
Using elimination method
Subtract equation 1 from 2
[tex]14 - 7 = 4m - 2m + b - b[/tex]
[tex]7 = 2m[/tex]
[tex]m=\frac{7}{2}[/tex]
Substitute m = [tex]\frac{7}{2}[/tex] in equation 1
[tex]7=2(\frac{7}{2} )+b[/tex]
b = 7 - 7
b = 0
Substitute b = 0 in equation 1
7 = 2m
Similarly
14 = 4m
21 = 6m
28 = 8m
Hence, Option B is the table which could represent the given situation.
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