shantel offers tutorial services she charges $25 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 monthy profit of at least 600.00
Let's assume Shantel works x hours in a month.
Her monthly income from tutorial services would be $25 * x.
To earn a monthly profit of at least $600, her monthly expenses should be less than her monthly income - $600.
Therefore, 3200 < 25x - 600.
Adding 600 to both sides, we get 3800 < 25x.
Dividing both sides by 25, we get 152 < x.
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.
To calculate the number of hours Shantel must work each month to earn a monthly profit of at least $600, we need to consider her expenses and the amount she earns per hour.
Let's denote:
E = Total expenses per month = $3,200.00
P = Desired monthly profit = $600.00
R = Rate per hour = $25.00
To calculate the number of hours, we need to first find the total income needed. This can be calculated by adding the expenses and the desired profit:
Total Income = Expenses + Desired Profit
Total Income = E + P
Total Income = $3,200.00 + $600.00
Total Income = $3,800.00
Now, we divide the total income by the rate per hour to find the number of hours Shantel needs to work:
Number of Hours = Total Income / Rate per hour
Number of Hours = $3,800.00 / $25.00
Number of Hours = 152
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.