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

1 answer

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.