2022-05-10
Two friends wash cars to make extra money. The profit P(x) of one friend after x days can be represented by the function P(x) = −x2 + 5x + 12. The second friend's profit can be determined by the function Q(x) = 6x. Solve the system of equations. What solution is a viable answer to the question, "After how many days will the two students earn the same profit?" and which solution is a nonviable answer? Show your work and justify your answer.
nick1337
Expert2022-05-18Added 777 answers
To find when they will earn the same profit: we must set the equation of their profits equal:
To find the solution of the day when the earned the same profit: we must set and
we get and
Thus after three days, both students will earn the same profit, the other solution is nonviable because one cannot work negative 4 days.
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