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.
Responses
1/20=80/x
20/x=1/80
20/1=80/x
80/1=20/x
It is incorrect. the answer is 20/1=80/x
The correct proportion is 20/x = 80/1.
To write a proportion that represents how long an employee must work to make $80, we need to compare the rate of pay to the total amount earned.
The company pays their employees $20 per hour, so the rate of pay is $20/hour. Let's use x to represent the unknown number of hours an employee needs to work.
To find the total amount earned, we multiply the rate of pay by the number of hours worked. In this case, the total amount earned is $80. So we can set up the proportion:
Rate of pay / Number of hours = Total amount earned / 1
Using the given values:
$20/hour / x = $80 / 1
Now we can simplify the proportion. Since $80 / 1 is just $80, we can rewrite the proportion as:
20/x = 80/1
So the correct proportion that represents how long an employee must work to make $80 is:
20/x = 80/1