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 x be the number of hours Shantel must work each month.
Her total income before expenses is 25x.
Her profit after expenses is 25x - 3200.
To earn a monthly profit of at least $600, we have the inequality:
25x - 3200 ≥ 600
Adding 3200 to both sides, we get:
25x ≥ 3800
Dividing both sides 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 profit of at least $600, we need to consider her expenses and the amount she charges per hour.
Let's denote the number of hours Shantel needs to work each month as "x".
Her monthly earnings can be calculated by multiplying the number of hours worked by the rate she charges per hour. Therefore, her monthly earnings can be expressed as: 25x.
Her monthly expenses are given as $3,200.
To find her monthly profit, we subtract her expenses from her earnings:
Profit = Earnings - Expenses
Profit = 25x - 3200
We want the profit to be at least $600, so we can set up the following inequality:
25x - 3200 ≥ 600
Simplify the inequality:
25x ≥ 3200 + 600
25x ≥ 3800
Divide both sides of the inequality by 25:
x ≥ 3800/25
x ≥ 152
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.