Question

Jerry has a part-time job at a supermarket. The ordered pairs show the number of hours he worked for (input values) and the number of dollars (output values) he earned over a five week period. (6,72) (8,96) (5.5, 66) (9,108) (7,84) Are the ordered pairs a relation?

Answer 1

Yes

Explanation:

The ordered pairs are (6,72) (8,96) (5.5, 66) (9,108) (7,84).

The number of hours worked is
`x` and the money earned is
`y`.

Let us divide the values of
`y` by
`x`

`(72)/(6)=12`

`(96)/(8)=12`

`(66)/(5.5)=12`

`(108)/(9)=12`

`(84)/(7)=12`

The fuction which defines the above ordered pairs is
`y=12x`

It can be seen that the amount of money earned is 12 times the number of hours worked.

So, per hour Jerry earns 12 dollars.

Hence, the ordered pairs are relation.