A company pays their employees $20 per hour.

Question

Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x to represent the unknown number of hours.

A. 1/20 = 80/x
B. 20/1 = 80/x

Answer 1

To determine how long an employee must work to make $80 at a rate of $20 per hour, we can set up a proportion. The amount earned is calculated as the rate multiplied by the number of hours worked. We can express this as:

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

Given:

• Rate = $20 per hour
• Earnings = $80
• Let \( x \) represent the number of hours worked.

The equation can be set up as follows:

\[ 20 \times x = 80 \]

To express this in fractional form for a proportion, we can rearrange it to form a fraction on each side:

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

This means the correct answer from your options is:

B. 20/1 = 80/x