Answer:
(b) (18, 27), because the rate of change of the function is 4/3
Step-by-step explanation:
just took the test mah peeps;)
Linear function is the function in which the highest power of the unknown variable is 1. The given point the points (18,27) satisfy the equation. Thus the points which could also be an order pair in the table is (18,27).
Given information-
The values of x and y in the given table are,
x 0 3 6 9 12
y 3 7 11 15 19
Linear function is the function in which the highest power of the unknown variable is 1.
The value of the x is changing with the value of the y.
The values of y in the table is changing with 4 units. The values of x in the table is changing with 3 units.
Let first two points from the table to find the slope of the equation,
First two points are, (0,3) and (3,7).
Thus the slope,
[tex]m=\dfrac{7-3}{3-0} \\m=\dfrac{4}{3}[/tex]
Put the values in the standard equation of the line,
[tex]y=mx+b[/tex]
Thus the rate of the change is 4/3.
From the given point the points (18,27) satisfy the equation. Thus the points which could also be an order pair in the table is (18,27).
Learn more about the linear function here;
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