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?
at least _ hours
Let's assume that Shantel needs to work "x" hours each month to earn a monthly profit of at least $600.
Her earnings per month can be calculated as: $25.00/hour * x hours
Her expenses per month are given as $3,200.00.
Her profit per month can be calculated as: Earnings - Expenses = $600.00
So, $25.00/hour * x hours - $3,200.00 = $600.00.
Simplifying the equation, we get: $25.00 * x - $3,200.00 = $600.00.
Adding $3,200.00 to both sides of the equation, we get: $25.00 * x = $600.00 + $3,200.00.
Combining like terms, we get: $25.00 * x = $3,800.00.
Dividing both sides of the equation by $25.00, we get: x = $3,800.00 / $25.00.
Calculating the value of x, we find: x = 152.
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.00.
To find out how many hours Shantel must work each month to earn a profit of at least $600.00, we need to set up an equation.
Let's denote the number of hours Shantel works each month as "x".
The total income she will earn from tutoring, with a charge of $25.00 per hour per student, is given by the equation: Income = 25x.
Her monthly expenses are $3,200.00.
Her monthly profit is calculated by subtracting her expenses from her income: Profit = Income - Expenses.
We need to find the value of "x" that satisfies the inequality: Profit ≥ $600.00.
So, the equation becomes: 25x - $3,200.00 ≥ $600.00.
To isolate "x," we need to move the negative $3,200.00 to the other side by adding it to both sides of the equation:
25x - $3,200.00 + $3,200.00 ≥ $600.00 + $3,200.00.
Simplifying the equation gives:
25x ≥ $3,800.00.
Finally, divide both sides of the equation by 25 to solve for "x":
25x/25 ≥ $3,800.00/25,
x ≥ $152.00.
From the calculation, we find that Shantel must work at least 152 hours per month to earn a monthly profit of at least $600.00.