Question

Hudson is a waiter at a restaurant. Each day he works, Hudson will make a guaranteed wage of $30, however the additional amount that Hudson earns from tips depends on the number of tables he waits on that day. From past experience, Hudson noticed that he will get about $13 in tips for each table he waits on. How much would Hudson expect to earn in a day on which he waits on 18 tables? How much would Hudson expect to make in a day when waiting on tt tables?

Answer 1

The amount of money that Hudson expects to earn in a day on which he waits on 18 tables is: $294

The amount of money that Hudson expects to earn in a day on which he waits on t tables is: $(30 + 13t).

How to solve Algebra Word Problems?

Based on the information provided above, we can logically deduce that a linear equation that models the total amount of money earned by Hudson at this restaurant is represented by the following function:

y = 30 + 13t

Where:

t represent the number of tables he waits on that day.

y represent the total earnings.

When the number of tables he waits on that day is equal to 18, Hudson's total earnings can be calculated as follows;

y = 30 + 13t

y = 30 + 13(18)

y = $264.

When the number of tables he waits on that day is t tables, Hudson's total earnings can be calculated as follows;

y = 30 + 13t = $(30 + 13t).