Question

The bar graph to the right shows the average number of hours that people sleep per day by age group use this information to complete parts A and b. A. Consider a function of those the domain is the set of six ages shown let the range be the average number of hours that people sleep per day write the function as a set of ordered pairs

Answer 1

We must write the relation between the age and the average number of hours slept as a set of ordered pairs.

Notice that the average number of hours slept by age is the following:

$\begin{gathered} 17\text{ years}\rightarrow9.4\text{ hours} \\ 22\text{ years}\rightarrow9.2\text{ hours} \\ 35\text{ years}\rightarrow8.8\text{ hours} \\ 45\text{ years}\rightarrow8.9\text{ hours} \\ 55\text{ years}\rightarrow8.5\text{ hours} \\ 65\text{ years}\rightarrow8.2\text{ hours} \end{gathered}$

To write the function as a set of ordered pairs, use the data from the domain (years) and from the range (hours) to form ordered pairs as (years,hours).

Then, the function as a set of ordered pairs is:

$\mleft\lbrace(17,9.4\mright),(22,9.2),(35,8.8),(45,8.9),(55,8.5),(65,8.2)\}$