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?

Respuesta :

Answer:

Yes

Step-by-step explanation:

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

The number of hours worked is [tex]x[/tex] and the money earned is  [tex]y[/tex].

Let us divide the values of [tex]y[/tex] by [tex]x[/tex]

[tex]\dfrac{72}{6}=12[/tex]

[tex]\dfrac{96}{8}=12[/tex]

[tex]\dfrac{66}{5.5}=12[/tex]

[tex]\dfrac{108}{9}=12[/tex]

[tex]\dfrac{84}{7}=12[/tex]

The fuction which defines the above ordered pairs is [tex]y=12x[/tex]

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.