Answer:
n = 6
Step-by-step explanation:
Let's convert the x and y values into (x,y) form.
(x, y) ⇒ (3, 5), (4, 7), (n, 11), (8, 15)
Now, let's find the rule in slope intercept form. To find the equation in slope intercept form, pick any two points. Then find the slope of the line.
⇒ (3, 5) and (4, 7)
Now, find the slope using the slope formula.
[tex]\dfrac{y_{2} - y_1}{x_2 - x_1} = \text{Slope}[/tex]
[tex]\rightarrow \dfrac{7 - 5}{4 - 3} = \text{Slope}[/tex]
[tex]\rightarrow \dfrac{2}{1} = 2 =\text{Slope}[/tex]
Now, let's use point slope form to find the equation in slope intercept form.
[tex]y - 5 = 2(x - 3)[/tex]
[tex]\rightarrow y - 5 = 2x - 6[/tex]
[tex]\rightarrow y = 2x - 1 \ \ \ \ \ (\text{Rule})[/tex]
Now, substitute the value of y into the equation.
[tex]11 = 2x - 1[/tex]
[tex]\rightarrow 12 = 2x[/tex]
[tex]\rightarrow \boxed{x = n = 6}[/tex]
