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).
Answer:
[tex]22=\frac{350+12x}{x}[/tex]
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.
[tex]350+12x[/tex]
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.
[tex]\frac{350+12x}{x}[/tex]
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.
[tex]22=\frac{350+12x}{x}[/tex]
