Question

If y = 7x − 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Answer 1

Given equation is y =7x - 5.

Let's plug in the values of x's to get their corresponding values of y's.

Let's plug in x = -5. So,

y = 7( -5) - 5 = -35 - 5 = -40

So, the first order pair is (-5, -40)

Hence, the first choice is not correct.

For x = 2, y = 7 (2) - 5 = 14 - 5 = 9.

Second order pair is (2, 9). So, second choice is also not correct.

Now for x = 0, y = 7(0) - 5 = - 5.

So, the third order pair is (0, -5).

Let's plug in x = -3 to check the third order pair list as we have already got two order pair (0, -5) and (2, 9) from that list.

For x = -3, y = 7(-3) - 5 = - 21 - 5 = -26.

Hence the correct choice is {(0, −5), (2, 9), (−3, −26)}.