Question

Tanisha is a waitress at a restaurant. Each day she works, Tanisha will make a guaranteed wage of $40, however the additional amount that Tanisha earns from tips depends on the number of tables she waits on that day. From past experience, Tanisha noticed that she will get about $14 in tips for each table she waits on. How much would Tanisha expect to earn in a day on which she waits on 10 tables? How much would Tanisha expect to make in a day when waiting on tt tables?

Answer 1

To calculate Tanisha's expected earnings in a day, we can break down her earnings into two parts: her guaranteed wage and her tips based on the number of tables she waits on.

1. **Guaranteed Wage**: Tanisha has a guaranteed wage of $40 each day.

2. **Tips**: Tanisha earns about $14 in tips for each table she waits on. If she waits on \( t \) tables, then her tips would be \( 14t \).

**Total Earnings Formula**:
The total earnings \( E \) for a day can be calculated using the formula:
\[
E = \text{Guaranteed Wage} + \text{Tips} = 40 + 14t
\]

Now, let's calculate her expected earnings for specific cases.

### When Tanisha waits on 10 tables:
Substituting \( t = 10 \):
\[
E = 40 + 14(10) = 40 + 140 = 180
\]
So, Tanisha would expect to earn **$180** in a day when she waits on 10 tables.

### When Tanisha waits on \( t \) tables:
Using the formula we derived:
\[
E = 40 + 14t
\]
Tanisha can expect to earn **$40 + 14t** for any number of tables \( t \) she waits on.