Chapter 5.3, Problem 35P

When Phil started his new job, he owed the company $ 65 for his uniforms. He is earning $ 13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has $m$ after $h$ hours of work. What is the graph of the equation?

To determine

To determine the equation and the graph it.

Explanation of Solution

Given:

Money he owed: $\$65$

Rate of his earnings: $\$13$ /hour Total cost after h hours of work is $\$m$

Calculation for graph:

Total earnings = The rate of earning × Number of hours of work

Hence, total earning is: $\$13h$

Therefore, the total money earned by him: $\$m=\$(13h-65)$

So, the required equation is $m=13h-65$ .

Graph:

  

Interpretation:

From the graph it can be observed that the horizontal extent of the graph is from $-\infty$ to $\infty$ .

And the vertical extent of the graph is also from $-\infty$ to $\infty$ .

So, both the domain and range of the function is $(-\infty ,\infty )$ .