Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns throughout the week. One week, Samantha notic
ed 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.
2 answers:
Answer:
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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.
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.
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.
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Answer:
A
Step-by-step explanation:
To understand this, we can look at the vertical & horizontal translations of a parabola of the form
- A vertically translated parabola has the form
, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative.
- A horizontally translated parabola has the form
, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.
When we replace x of the original function with (x-1), we have . According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).
Correct answer is A.