Wages. Jason and Valerie both work at Panera Bread and have...

Wages. Jason and Valerie both work at Panera Bread and have the following paycheck information for a certain week. Find an equation that shows their wages $W$ varying directly with the number of hours worked $H$. $$ \begin{array}{|c|c|c|} \hline \text { EMPLOYEE } & \text { HOURS WORKED } & \text { WAGES } \\ \hline \text { Jason } & 23 & \$ 172.50 \\ \hline \text { Valerie } & 32 & \$ 240.00 \\ \hline \end{array} $$

Wages. Jason and Valerie both work at Panera Bread and have the following paycheck information for a certain week. Find an equation that shows their wages $W$ varying directly with the number of hours worked $H$.
$$
\begin{array}{|c|c|c|}
\hline \text { EMPLOYEE } & \text { HOURS WORKED } & \text { WAGES } \\
\hline \text { Jason } & 23 & \$ 172.50 \\
\hline \text { Valerie } & 32 & \$ 240.00 \\
\hline
\end{array}
$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Equation

A linear equation is a mathematical equation that describes a straight-line relationship between two variables. When expressing wages as a function of hours worked, the equation takes the form W = kH, where W represents wages, H represents hours worked, and k is the constant of proportionality, reflecting how wages increase linearly with hours worked.

Direct Variation

Direct variation is a relationship between two variables in which one variable is a constant multiple of the other. This means that as one variable increases, the other increases proportionally, and the relationship can be represented by the equation y = kx, where k is the constant of proportionality.

Proportionality Constant

The proportionality constant, often represented as k, indicates the rate at which one variable changes in relation to the other. In the context of wages and hours worked, k would represent the hourly wage rate, showing exactly how much wage is earned per hour of work.

Transcript

Please give Ace some feedback