Serena is an account executive. She receives a base pay of $18 an hour plus a 15% bonus for all the sales she generates. Last week she generated $1,200 worth of business. What is the minimum number of hours she could have worked to make $500?
0.15 * 1200 = 180
180 + 18x = 500
x = ?
To find the minimum number of hours Serena could have worked to make $500, we need to calculate her total earnings for the week.
Let's start by calculating her earnings from sales:
Sales earnings = 15% of $1,200
Sales earnings = 0.15 * $1,200
Sales earnings = $180
Next, we need to calculate her base pay earnings:
Base pay earnings = $18 per hour * hours worked
To find the minimum number of hours needed to earn $500, we can set up an equation:
$500 = Base pay earnings + Sales earnings
Substituting the values we know:
$500 = $18 per hour * hours worked + $180
Simplifying the equation:
$500 = $18h + $180
Now, we can solve for the hours worked (h):
$500 - $180 = $18h
$320 = $18h
h = $320 / $18
h ≈ 17.78
Therefore, the minimum number of hours Serena could have worked to make $500 is approximately 17.78 hours.
To determine the minimum number of hours Serena could have worked to make $500, we need to calculate her total earnings for that week.
First, let's determine Serena's earnings from the sales she generated:
Bonus = (Sales generated) * (Bonus percentage)
Bonus = $1,200 * 0.15
Bonus = $180
Next, let's calculate Serena's total earnings:
Total Earnings = Base Pay + Bonus
Total Earnings = $18/hour * Number of Hours + $180
To find the minimum number of hours she could have worked to make $500, we can set up an equation:
$500 = $18/hour * Number of Hours + $180
To solve for the Number of Hours, we'll rearrange the equation:
$500 - $180 = $18/hour * Number of Hours
$320 = $18/hour * Number of Hours
Number of Hours = $320 / ($18/hour)
Number of Hours ≈ 17.7778 hours
Since we cannot work a fraction of an hour, the minimum number of hours Serena could have worked to make $500 is rounded up to 18 hours.