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

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 $x$ and the money earned is  $y$.

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

$\dfrac{72}{6}=12$

$\dfrac{96}{8}=12$

$\dfrac{66}{5.5}=12$

$\dfrac{108}{9}=12$

$\dfrac{84}{7}=12$

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.