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.
We can set up the proportion as follows:
$20 per hour is equivalent to 1 hour.
Therefore, the proportion is:
$\frac{x \text{ dollars}}{80 \text{ dollars}} = \frac{1 \text{ hour}}{x \text{ hours}}$
This can be written in fractional notation as:
$\frac{x}{80} = \frac{1}{x}$
To write a proportion representing how long an employee must work to make $80 using fractional notation, we can set up a ratio between the amount earned and the number of hours worked.
Let x represent the unknown number of hours.
According to the given information, an employee is paid $20 for each hour worked.
Therefore, the ratio of the amount earned to the number of hours worked is:
Amount earned: Number of hours worked
$80: x
Using fractional notation, we can write this ratio as:
80/1 : x/1
Simplifying the fractions, we have:
80/1 = x/1
Therefore, the proportion that represents how long an employee must work to make $80 is:
80/1 = x/1