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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.

1 answer

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.