Question

Restaurants typically pay wait staff an hourly wage that is lower than minimum wage. The wait staff is expected to make up the difference in tips. The minimum wage is $7.25 per hour and a restaurant pays the wait staff $6.10 per hour. If a waitress works an 8-hour shift, write an inequality that gives the total tips t in dollars that the waitress must earn in an 8-hour shift in order to meet or exceed the minimum wage.

I only need the equation. Please answer ASAP

Answer 1

The waitress would need to make up the difference between the minimum wage of $7.25 per hour and the hourly wage of $6.10 per hour for all 8 hours of their shift. That means the minimum amount the waitress must earn in tips in an 8-hour shift would be:

8 hours x ($7.25 per hour - $6.10 per hour) = $9.20

So the equation that gives the total tips t in dollars that the waitress must earn in an 8-hour shift in order to meet or exceed the minimum wage is:

t ≥ $9.20

Answer 2

The inequality that represents the total tips (t) in dollars that the waitress must earn in an 8-hour shift to meet or exceed the minimum wage is:

8 * 6.10 + t ≥ 8 * 7.25

In this equation, 8 represents the number of hours worked, 6.10 represents the hourly wage paid by the restaurant, and 7.25 represents the minimum wage per hour. The left side of the inequality calculates the total income from the hourly wage and tips, while the right side represents the minimum wage for the same duration. The inequality ensures that the total income, including tips, is greater than or equal to the minimum wage.