Working three days per week, a clerk earns $255 per week. At the same rate of pay , which expression below represents what she would earn if she worked 5 days per week? ( let x represent full time earnings) 1. X= 3/5 (255) 2. X= 5/3(255). 3. X= 3(255). 4. X= 5(255) 5. Not enough information is given
5/3 as many days, so 5/3 as much pay.
To find out the clerk's earnings if she worked 5 days per week, we need to calculate the amount she earns per day and then multiply it by 5.
First, let's determine the amount she earns per day by dividing her weekly earnings by the number of days she works in a week:
$255 / 3 days = $85 per day
Now that we know she earns $85 per day, we can find her earnings if she worked 5 days per week by multiplying it by 5:
$85 * 5 days = $425
Therefore, the clerk would earn $425 if she worked 5 days per week.
Looking at the options:
1. X = 3/5 * 255 does not match our calculated earnings of $425.
2. X = 5/3 * 255 does not match our calculated earnings of $425.
3. X = 3 * 255 does not match our calculated earnings of $425.
4. X = 5 * 255 matches our calculated earnings of $425.
Therefore, the correct expression is X = 5(255), which represents what she would earn if she worked 5 days per week. The answer is option 4.