Question

faith is a waitress at a restaurant. each day she works, faith will make a guaranteed wage of $20, however the additional amount that faith earns from tips depends on the number of tables she waits on that day. from past experience, faith noticed that she will get about $15 in tips for each table she waits on. how much would faith expect to earn in a day on which she waits on 16 tables? how much would faith expect to make in a day when waiting on t tables? answer attempt 1 out of 2 total earnings with 16 tables: total earnings with t tables:

Explanation:

Step1: Define earnings formula

Let $T$ = number of tables. Total earnings = guaranteed wage + tip earnings.
Guaranteed wage = $\$20$, tip per table = $\$15$.
Formula: $Earnings = 20 + 15T$

Step2: Calculate for 16 tables

Substitute $T=16$ into the formula.
$Earnings = 20 + 15\times16$
$Earnings = 20 + 240 = 260$

Step3: Generalize for $t$ tables

Substitute $T=t$ into the formula.
$Earnings = 20 + 15t$

Answer:

Total earnings with 16 tables: $\$260$
Total Earnings with $t$ tables: $\$20 + 15t$