(03.08 MC) The same amount of trash from a landfill is recy…

(03.08 MC) The same amount of trash from a landfill is recycled every day. The function below shows the total number of tons of trash n left in the landfill after x days. Assume that new trash is not added to the landfill. n = 50000 − 1000x What does the number 1,000 represent?

(03.06 MC) Aurora is planning to participate in an event at…

(03.06 MC) Aurora is planning to participate in an event at her school’s field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 4), (2, 8), (3, 16), (4, 32) Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points) Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points) Part C: Use an explicit formula to find the time she will complete the 8th station. Show your work. (4 points)

(03.03 MC) A biologist is studying the growth of a particul…

(03.03 MC) A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d) = 11(1.01)d Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points) Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points) Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)