2.Find the horizontal asymptote of the following rational function,show your work and justify your answers fully:
3.Admission into an amusement park for 4 children and 2 adults is $116.90.For 6 children and 3 adults,the admission is $175.35.Assume a different price for children and adults. a.First,write out a system of equations for this scenario in terms of the cost of a children's ticket x),and the cost of an adult's ticket (y). b. Write this system as an augmented matrix. c.Reduce this matrix into the RREF form we discussed in class.Write out how you found this RREF,as well as the reduced matrix d.Translate this reduced matrix back into a form where you can write out the solution set. What is the price of the child's ticket and the price of the adult ticket?