Question
An employee’s hourly earnings is described by the equation: 10y = 80x. What is the employee’s earning per hour?
The employee earns $8 per hour.
The employee earns $8 per hour.
Answers
GPT-4o mini
To solve for the employee's hourly earnings using the equation \( 10y = 80x \), we can rearrange this equation to isolate \( y \).
1. Start with the equation:
\[
10y = 80x
\]
2. Divide both sides by 10:
\[
y = \frac{80x}{10}
\]
3. Simplify the right side:
\[
y = 8x
\]
This equation shows that the employee's earnings per hour, \( y \), is equal to \( 8 \) times \( x \), where \( x \) represents the number of hours worked.
If the employee earns $8 for every hour they work (which is consistent with the derived equation), then indeed they earn $8 per hour.
In summary, the employee earns **$8 per hour**.
1. Start with the equation:
\[
10y = 80x
\]
2. Divide both sides by 10:
\[
y = \frac{80x}{10}
\]
3. Simplify the right side:
\[
y = 8x
\]
This equation shows that the employee's earnings per hour, \( y \), is equal to \( 8 \) times \( x \), where \( x \) represents the number of hours worked.
If the employee earns $8 for every hour they work (which is consistent with the derived equation), then indeed they earn $8 per hour.
In summary, the employee earns **$8 per hour**.