Chapter P, Problem 1CC

What is an algebra model for a real world situation? If Shellie’s wages are $12 an hour, find a model for the amount W that Shellie earns after working x Hours.

To determine

To explain:

An algebra model for a real-world situation and find a model for the amount $W$ that Shellie earns after the work of $x\text{ hours}$.

Answer to Problem 1CC

An algebra model for the amount $W$ that Shellie earns after the work of $x\text{ hours}$ is $W=12x$.

Explanation of Solution

Given information:

Shellie wages are $\$12$ an hour. Shellie’s earns the amount $W$ after the work of $x\text{ hours}$.

An algebra model is a mathematical representation or a formula that describes many real-world situations.

The number of hours Shellie work is $x$, the amount is $W$ and Shellie’s wage is $\$12$.

This can be modeled as,

$\begin{array}{c}W=12\cdot x\\ =12x\end{array}$

Therefore, the amount $W$ that Shellie earns after the work of $x\text{ hours}$ is $12x$.

Conclusion:

Thus, the algebra model for the amount $W$ that Shellie earns after the work of $x\text{ hours}$ is $W=12x$.