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?
Let's denote the number of hours Shantel must work each month as x.
Her earnings from tutoring each month can be calculated as 25x, as she charges $25.00 per hour per student.
Her total expenses each month are given as $3,200.00.
Her profit each month can be calculated as her earnings minus her expenses, so it is given by the equation:
Profit = Earnings - Expenses
Profit = 25x - 3,200.00
We are given that Shantel wants to earn a monthly profit of at least $600.00, so we can set up the inequality:
Profit ≥ 600.00
25x - 3,200.00 ≥ 600.00
To solve for x, we can first add 3,200.00 to both sides of the inequality:
25x - 3,200.00 + 3,200.00 ≥ 600.00 + 3,200.00
25x ≥ 3,800.00
Finally, we can divide both sides of the inequality by 25 to solve for x:
(25x)/25 ≥ 3,800.00/25
x ≥ 152.00
Therefore, Shantel must work at least 152 hours each month in order to earn a monthly profit of at least $600.00.
To calculate the number of hours Shantel must work each month to earn a monthly profit of at least $600.00, we need to consider her expenses and income.
Let's assume "x" is the number of hours Shantel needs to work per month.
Income from tutoring: $25.00 per hour * x hours = $25x
Expenses: $3,200.00
To calculate the profit, we subtract the expenses from the income:
Profit = Income - Expenses
Profit ≥ $600.00
Therefore:
$25x - $3,200.00 ≥ $600.00
Now, let's solve the inequality for x:
$25x - $3,200.00 ≥ $600.00
$25x ≥ $600.00 + $3,200.00
$25x ≥ $3,800.00
x ≥ $3,800.00 / $25
Dividing both sides by $25.00 gives us:
x ≥ 152
So, Shantel must work at least 152 hours per month to earn a monthly profit of at least $600.00.