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

20x=180
20 over x is equal to 1 over 80

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

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

201=80x

1 answer

To find the proportion that represents how long an employee must work to make $80 at a rate of $20 per hour, we can set up the equation based on the relationship between hours worked (x) and total pay:

The pay can be expressed as: \[ \text{Pay} = \text{Hourly Rate} \times \text{Hours Worked} \] In this case: \[ 80 = 20x \]

To write this as a proportion using fractional notation, we can express the hourly rate and the total pay:

We can rewrite it as: \[ \frac{20}{1} = \frac{80}{x} \]

So the correct proportion that represents how long an employee must work to make $80 is: \[ \frac{20}{1} = \frac{80}{x} \]

Among the response options provided, this is equivalent to the option: 1 over 20 is equal to 80 over x.

To clarify, this option shows that you have the hourly pay of $20 expressed as a fraction, compared to the total pay of $80 relative to the hours worked (x) expressed as a fraction as well.

Thus, the correct choice is: 1 over 20 is equal to 80 over x.