A company pays their employees $20 per hour. Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x

Question

to represent the unknown number of hours

Answer 1

To set up a proportion representing how long an employee must work to make $80 when they are paid $20 per hour, we can use the following relationship:

1. The hourly rate is $20 per hour.
2. We want to find out how many hours, represented by \(x\), are needed to earn $80.

The amount earned can be expressed as:

\[ \text{Earnings} = \text{Hourly Rate} \times \text{Hours Worked} \]

We can set up the equation based on the known values:

\[ 80 = 20 \times x \]

Now, to write this as a proportion using fractional notation, we can represent it as:

\[ \frac{20}{1} = \frac{80}{x} \]

This proportion indicates that for every $20 earned per hour, the total earnings of $80 corresponds to \(x\) hours worked.

Thus, the final proportion is:

\[ \frac{20}{1} = \frac{80}{x} \]