Chapter 1.7, Problem 48PPS

(a)

To determine

To write:The expression to represent money Christina will earn if she works $h$ hour.

Explanation of Solution

Christina earns $\$7.50$ an hour babysitting.

If she work for $h$ hour, then expression for the money she earn is given by,

  $f\left(h\right)=7.50h$

Therefore, expression to represent money Christina will earn if she works $h$ hour is $f\left(h\right)=7.50h$ .

(b)

To determine

To create:The table for five values of $h$ and the money she earns.

Explanation of Solution

The table for money earned for five different hours is shown below

Hours $\left(h\right)$	Money earned $f\left(h\right)$
$1$	$\$7.50$
$2$	$\$15.0$
$3$	$\$22.5$
$4$	$\$30.0$
$5$	$\$37.5$

Table (1)

Therefore, the required table is shown in Table (1)

(c)

To determine

To graph:The values obtained in part (b).

Explanation of Solution

The graph of the values from Table (1) is shown in figure below.

  

Figure (1)

Therefore, the required graph is shown in Figure (1).

(d)

To determine

To find:Whether it make sense to connect the point in the graph.

Explanation of Solution

The graph of the values from Table (1) is shown in figure below.

  

Figure (1)

Yes it make sense to connect the points in the graph obtained because it shows that how earn money is increasing as the hours of work increases.