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

20x=180

1 answer

To set up a proportion that represents how long an employee must work to make $80, we can use the following:

  • The rate of pay is $20 per hour.
  • The total earnings desired is $80.
  • Let \( x \) be the number of hours worked.

So, the equation can be set up as:

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

This means for every $20 earned in 1 hour, $80 is earned in \( x \) hours.

So, the correct proportional representation is:

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

This matches the second option from your list:

20 over 1 is equal to 80 over x.