Answer:
C
Step-by-step explanation:
To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct
A)
x=-4, y=2
-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8
x=0, y=8
-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0
B)
x=8, y=0
-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative
x=2, y=3
-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.
C)
x=0, y=4
-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works
x=4, y=6
-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.
D)
x=-2, y=5
-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16
x=-8, y=0
-2x+4y = -2 * (-8) + 4 * (0) = 16. This works, but the other pair does not work, so D is incorrect
Looked it up & the answer is -1.9
The correct students about the function are;
B: The function represented by the table has a greater rate of change.
C: The function y = 7x + 8 has the greatest y-intercept.
<h3>How to Interpret the Function Table?</h3>
We are looking at the equation;
y = 7x + 8
The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, the slope of the given equation is 7 while the y-intercept is 8.
From the table, the rate of change which is also is simply the slope from the formula;
m = (y₂ - y₁)/(x₂ - x₁)
m = (32 - 16)/(4 - 2)
m = 8
Looking at the given options, only options that are correct are Options B and C.
Read more about Function Table at; brainly.com/question/9404442
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