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:[tex]\frac{350+12x}{x} =22[/tex]Step-by-step explanation:Samantha's total earning per week are going to include the fix weekly wage of $350, plus whatever she gets from the tips. SInce what she gets from tips she noticed to be $12 per hour, if she works x hours during the week, the amount coming from tips only will be= $12*xTherefore the total earning per week will add up to: $350 + $12*xOn the other hand, if we want to express her "average" hourly earnings, we need to divide the quantity above by the number of hours she works per week (we named such "x"): [tex]\frac{350+12x}{x}[/tex]Therefore, the last expression that states that "Samantha's average hourly earnings is $22", can be written as: [tex]\frac{350+12x}{x}=22[/tex]