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
The proportion can be written as:
20/1 = 80/x
To find the proportion, we need to set up a ratio between the amount of money earned and the number of hours worked.
The amount of money earned is $80, so the ratio is $80 to x, where x represents the unknown number of hours.
The rate at which the company pays their employees is $20 per hour, so the ratio is also $20 to 1 hour, or $20/1 hour.
To set up the proportion, we can write:
$80 / x = $20 / 1
To solve the proportion, we will cross-multiply. This means we multiply the numerator of the first fraction by the denominator of the second fraction and vice versa:
$80 * 1 = x * $20
Simplifying this equation, we have:
$80 = $20x
Now, we can divide both sides of the equation by $20 to isolate x:
$80 / $20 = x
Simplifying further, we have:
4 = x
Therefore, an employee must work for 4 hours to make $80.
To write a proportion, we can set up the ratio of the amount earned to the number of hours worked. In this case, the amount earned is $80 and the number of hours worked is x. The rate at which the employee is paid is $20 per hour.
Therefore, the proportion can be written as:
$20 per 1 hour = $80 per x hours
In fractional notation, this can be written as:
$\frac{20}{1} = \frac{80}{x}$