The function [tex]y = \frac{4}{5} x[/tex] represents the table of values.
Step-by-step explanation:
Step 1:
y is dependent on the value of x.
So x is independent while y is dependent on x i.e. the value of f(x) depends on the value of x.
Step 2:
We substitute the values of x in the functions to check which function satisfies the values of y.
If [tex]x=5[/tex] and [tex]y = x-2, y = 5-2 = 3[/tex]. This does not equal the value of y.
If [tex]x=5[/tex] and [tex]y =\frac{5}{4} x, y = \frac{5}{4} (5) = 6.25[/tex]. This does not equal the value of y.
If [tex]x=5[/tex] and [tex]y =\frac{4}{5} x, y = \frac{4}{5} (5) = 4[/tex]. This equals the value of y.
If [tex]x=5[/tex] and [tex]y =-\frac{5}{4} x, y =- \frac{5}{4} (5) = -6.25[/tex]. This does not equal the value of y.
So the third function describes the table of value.
