The Yearbook Club is going to an amusement park, and each of their 12 members will pay for admission and will also help pay for parking. The Robotics Club is going to a waterpark, and each of their 14 members will pay for admission and will also purchase a meal ticket. Admission to
the amusement park is 1.5 times that of the waterpark's admission, as shown in the table. If the total cost is the same at both the amusement
park and the waterpark, what is the admission per student to the waterpark?
Amusement Park
Waterpark
Admission: $1.5x per student
Admission: $x per student
Parking: $2 per student
Meal Ticket: $10.50 per student
Let x represent the cost of admission to the waterpark. Fill in the blanks to write an equation to represent the situation.
(1.5x +
(x + 10.5)

Use the x-intercept method to find all real solutions of the equation.x^3-10x^2+27x-18=0

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?

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