Chapter 1.7, Problem 48PPS

a.

To determine

To write: An algebraic expression, based on the money Christina will earn if she works $h$ hours.

Answer to Problem 48PPS

Expression is $y=7.5h$ .

Explanation of Solution

Given Information:Christina earns $\$7.5/hour$ babysitting.

Calculation:

As Christina earns $\$7.5/hour$ , after $1$ hour of babysitting her total earnings would be $\$7.5$ , after $2$ hours her total earnings would be $\$15$ and so on,

  $\therefore$

  $y=7.5h$

Where $y$ is Christina’s total earnings and $h$ is number of hours she worked.

b.

To determine

To create: A table containing five different values of hours Christina can babysit.

Answer to Problem 48PPS

Table is created below.

Explanation of Solution

Given Information:Christina earns $\$7.5/hour$ babysitting.

Calculation:

  $\begin{array}{ll}h(hours)\hfill & y(earnings)\hfill \\ 4\hfill & (7.5)h=30\hfill \\ 3\hfill & (7.5)h=22.5\hfill \\ 6\hfill & (7.5)h=45\hfill \\ 5\hfill & (7.5)h=37.5\hfill \\ 2\hfill & (7.5)h=15\hfill \end{array}$

Thus, table is created.

c

To determine

To draw: A graph using the data values in the table calculated in the previous part.

Answer to Problem 48PPS

Graph is plotted.

Explanation of Solution

Given Information: Christina earns $\$7.5/hour$ babysitting. Table from previous part.

Graph:

  

Thus, graph is plotted.

d.

To determine

To find: If it makes sense to connect the points in graph with a line.

Answer to Problem 48PPS

Yes, it makes sense to connect the points with a line.

Explanation of Solution

Given Information:Christina earns $\$7.5/hour$ babysitting.

Yes, it makes sense to connect the points with a line. As the line signifies positive slope, it gives a clear picture of the pattern and trend in-between the consecutive points. It can be observed that in this case, lines is sharply progressing upward, making an uphill.