Question

Which equation could have been used to create this function table?

y = 5x

y = x + 3

y = x + 5

y = 3x

Answer 1

Answer: Third option.

Explanation:

You need to substitute a value of "x" (input value) provided in the table into each function and observe in the value of "y" obtained (output value) matches with the coorresponding output value shown in the table.

For
`x=4`

First option:

`y = 5x\\y = 5(4)\\y=20`

Second option:

`y = x + 3\\y = 4 + 3\\y=7`

Third option:

`y = x + 5\\y = 4 + 5\\y=9`

(This one matches with the function table)

Fourth option:

`y = 3x\\y = (3)(4)\\y=12`

Then the answer is:
`y = x + 5`

Answer 2

y=x+5

EXPLANATION

We can observe the following pattern among the x and y-values.

9=4+5

12=7+5

18=13+5

22=17+5

24=19+5

Hence, in general, the function rule is

y=x +5