Shantel offers online tutorial services. She charges $25.00 an hour per student. Her budget tracker reflects a total of $3,200.00 monthly expenses. How many hours must Shantel work each month to earn a monthly profit of at least $600.00?(1 point)
at least
hours
Let the number of hours Shantel must work each month be x.
Her total earnings from working x hours will be 25x.
Her monthly profit will be her total earnings minus her total expenses, so it will be:
25x - 3200
We want her monthly profit to be at least $600, so we can set up the following inequality:
25x - 3200 >= 600
Adding 3200 to both sides of the inequality, we get:
25x >= 3800
Dividing both sides of the inequality by 25, we get:
x >= 152
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.
To determine the number of hours Shantel must work each month to earn a monthly profit of at least $600.00, we need to set up an equation.
Let's assume the number of hours Shantel works each month is represented by "x".
The formula to calculate the monthly profit should be:
Monthly Profit = Total Earnings - Total Expenses
Shantel's Total Earnings can be calculated by multiplying the hourly rate ($25.00) by the number of hours she works (x). So, Total Earnings = $25.00 * x.
Substituting the given values into the formula:
$600.00 = ($25.00 * x) - $3,200.00
Rearranging the equation to solve for x:
($25.00 * x) = $600.00 + $3,200.00
($25.00 * x) = $3,800.00
Dividing both sides of the equation by $25.00:
x = $3,800.00 / $25.00
x = 152 hours
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.00.
To calculate the number of hours Shantel must work each month to earn a profit of at least $600, we need to take into account the expenses and the hourly rate.
Let's start by finding out how much revenue Shantel needs to generate each month to cover her expenses and earn a $600 profit. We can use the formula:
Revenue = Expenses + Profit
Given that the monthly expenses are $3,200 and the desired profit is $600, the revenue she needs to generate is:
Revenue = $3,200 + $600 = $3,800
Since Shantel charges $25.00 per hour per student, we can calculate the number of hours she needs to work using the formula:
Number of Hours = Revenue / Hourly Rate
Substituting the values, we get:
Number of Hours = $3,800 / $25.00 ≈ 152
Therefore, Shantel must work at least 152 hours each month to earn a profit of at least $600.