Question

Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns throughout the week. One week, Samantha noticed that she earned about $12 in tips each hour. Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22. Write a rational equation that models this situation.

Answer 1

Answer:

$22=\frac{350+12x}{x}$

Step-by-step explanation:

Samantha's weekly paycheck is $350 and she earns $12 in tips each hour. So, 12x represents the amount she earns in tips for working x hours. To find the total amount Samantha earns after working x hours, add the amount of her weekly paycheck and her amount earned in tips.

$350+12x$

Next, to find Samantha's average hourly earnings over the course of a week, divide the total amount that she earns in a week by the number of hours that she works, x.

$\frac{350+12x}{x}$

It is given that the average amount earned per hour for one particular week was $22. Therefore, set the above expression equal to 22 in order to create the rational equation that can be used to determine the number of hours Samantha worked that week.

$22=\frac{350+12x}{x}$

Answer 2

Answer:(350+12x)/x

Step-by-step explanation:

First, you need to find the amount of money Samantha can earn throughout the week. This is represented by 12x+350

Then, divide that by the number of hours worked in a week (x).

Then, set it equal to 22 (the average hours worked).