Answer:
y do not vary directly with x
Step-by-step explanation:
Given
x ----- y
7------11
8------13
9------15
10----17
Required
Determine if y varies directly with x
To do this, we make use of the following equation
[tex]y = kx[/tex]
Where
k = constant of variation
Make k the subject
[tex]k = \frac{y}{x}[/tex]
When
[tex]x = 7; y = 11[/tex]
[tex]k = \frac{11}{7}[/tex]
[tex]k = 1\frac{4}{7}[/tex]
When
[tex]x = 8; y = 13[/tex]
[tex]k = \frac{13}{8}[/tex]
[tex]k = 1\frac{5}{8}[/tex]
Note to have a direct variation, the constant of proportionality must be equal for all corresponding values of x and y.
In the above calculations, we have:
[tex]k = 1\frac{4}{7}[/tex] and [tex]k = 1\frac{5}{8}[/tex]
Because of the difference in the values of k, we can conclude that y do not vary directly with x.
Hence, there's no need to solve for other x and y values and there's no need to solve for (2) & (3)
