If y=5x-3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (2,5), (-3,-12), (-4,-18)
(-1, -8), (0,-3), (3,12)
(1,4), (7,25), (3,10)
(5, 20), (6,12), (1,9)

Explanation:

If we plug in x = 2, then

y = 5x-3

y = 5*2-3

y = 7

Meaning (2,7) is on the function instead of (2,5). So this rules out choice A

If we plug in x = 1, then

y = 5x-3

y = 5*1-3

y = 2

Allowing us to rule out choice C because (1,2) is on the function instead of (1,4)

Now let's try x = 5

y = 5x-3

y = 5*5-3

y = 22

Showing (5,22) is on the graph instead of (5,20). We can rule out choice D.

The only thing left is choice B

Plugging in x = -1 leads to

y = 5x-3

y = 5(-1)-3

y = -8

We see that (-1,-8) is on the graph.

Plugging in x = 0 leads to

y = 5x-3

y = 5(0)-3

y = -3

The point (0,-3) is on the graph

Finally, plug in x = 3

y = 5x-3

y = 5*3-3

y = 12

The point (3,12) is on the graph

The points all mentioned in choice B are on the graph of y = 5x-3, so this confirms choice B as the answer.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

rounding to the nearest thousandth would be 452,000