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.(1 point)
Responses

20/x = 1/80

1/20 = 80/x

80/1 = 20/x

20/1 = 80/x

Answer 1

To determine how long an employee must work to make $80 when they earn $20 per hour, you can set up the proportion using the relationship between earnings and hours worked.

Let \( x \) represent the number of hours worked. The amount earned is given by the equation:

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

In this case, the hourly rate is $20, and the earnings is $80. So, you can write the equation:

\[ 80 = 20 \cdot x \]

Now, to express this as a proportion in fractional notation, you can set it up as follows:

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

Out of the provided options, the correct proportion that represents this relationship is:

20/1 = 80/x