Mr. Santos treated his students and adult chaperones to a movie for winning the state contest. There were 20 fewer adults than students that attended. The movie theater charged $ 4 for each student and $ 6 for each adult. If Mr. Santos spent $ 180 on movie tickets, write a system of equations that represents the number of adult tickets, a, and the number of students tickets, s, that were purchased.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Write two point-slope equations for the line passing through the points (6, 5) and (3, 1)

Jessica is organizing a guided tour of the rain forest. the average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. what does the numerator of this rational expression represents?