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

801=20x
80 over 1 is equal to 20 over x - no response given

201=80x
20 over 1 is equal to 80 over x - no response given

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

1/20=80/x

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the proportion that represents how long an employee must work to make $80 when they are paid $20 per hour, we can set up the following equation based on the relationship between wages, hours worked, and pay:

The amount earned ($80) is equal to the hourly wage ($20) multiplied by the number of hours worked (x).

So, we have:

\[ 20 \text{ (dollars/hour)} \cdot x \text{ (hours)} = 80 \text{ (dollars)} \]

In fractional notation, this can be written as:

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

This shows the direct relationship between total earnings and hours worked, using the hourly wage.

Thus, the correct response from your options is:

80 over 1 is equal to 20 over x.