To find the proportion that represents how long an employee must work to make $80 at a rate of $20 per hour, we can set up the equation based on the relationship between hours worked (x) and total pay:
The pay can be expressed as: \[ \text{Pay} = \text{Hourly Rate} \times \text{Hours Worked} \] In this case: \[ 80 = 20x \]
To write this as a proportion using fractional notation, we can express the hourly rate and the total pay:
We can rewrite it as: \[ \frac{20}{1} = \frac{80}{x} \]
So the correct proportion that represents how long an employee must work to make $80 is: \[ \frac{20}{1} = \frac{80}{x} \]
Among the response options provided, this is equivalent to the option: 1 over 20 is equal to 80 over x.
To clarify, this option shows that you have the hourly pay of $20 expressed as a fraction, compared to the total pay of $80 relative to the hours worked (x) expressed as a fraction as well.
Thus, the correct choice is: 1 over 20 is equal to 80 over x.