Question

The table shows the outputs y for different inputs x:

Answer 1

Part A:

For a table to be considered a function, every x-value must have one y-value. 
Each x-value in this table is unique, and has only one y-value, so this table does represent a function.

Part B:

Plug in 7 for every x in the relation:

$2(7) + 13 = 14 + 13 = 27$

The table's output when x = 7 is 11. Compare the two outputs:

11 < 27

The relation, 2x + 13, has a greater value when x = 7.

Part C:

Set the relation to equal 75:

$2x + 13 = 75$

Subtract 13 from both sides:

$2x = 62$

Divide both sides by 2 to get x by itself:

$\boxed{x = 31}$

The x value that produces an output of 75 will be 31.