Q38. - Algebra 2

Question

For Exercises $38-41$, use the table that shows a company’s stock price in recent years.

$38.$Write a relation to represent the data.

Step-by-Step Solution

Answer

The required relation for the given data is $\left\{\left(1997,39\right),\left(1998,43\right),\left(1999,48\right),\left(2000,55\right),\left(2001,61\right),\left(2002,52\right)\right\}$.

Step 1 – Definition of a relation.

A relation is the set of ordered pairs $\left(x,y\right)$, where $x$ is the input value and $y$ is the output value

Step 2 – Given information.

The table shows a company’s stock price in recent years.

Step 3 – Write the relation in ordered pairs.

It is given that the years are the domain and the prices are range. So, the input values are $1997,1998,1999,2000,2001,2002$ and the respective output values are $39,43,48,55,61,52$.

 

The ordered pairs for the given data are $( 1997,39),( 1998,43),( 1999,48),( 2000,55),( 2001,61),( 2002,52 )$

Thus, the required relation for the given data is$\left\{\left(1997,39\right),\left(1998,43\right),\left(1999,48\right),\left(2000,55\right),\left(2001,61\right),\left(2002,52\right)\right\}$.