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

to represent the unknown number of hours.(1 point)
Responses

201=80x
20 over 1 is equal to 80 over x

120=80x
1 over 20 is equal to 80 over x

801=20x
80 over 1 is equal to 20 over x

20/x=1/80

1 answer

To find the proportion representing how long an employee must work to make $80 at a rate of $20 per hour, we can set it up as follows:

Let \( x \) represent the number of hours worked. The amount earned for \( x \) hours is \( 20x \).

We want to represent the relationship where the earnings (20 per hour) multiplied by hours (x) is equal to the total earnings ($80):

The proportion can be set up as:

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

This is the correct representation. Thus, the correct response is:

20 over 1 is equal to 80 over x.