The profits of a small company for each of the first five years of its operation are given in the table to the right. a. Plot points representing the profit as a function of year, and join them by as smooth a curve as you can. b. What is the average rate of increase of the profits between 2010 and 2012? c. Use your graph to estimate the rate at which the profits were changing in 2011.

The value of a brand new car is $10,000$10,000 and the value depreciates 18% every year. Write a function to represent the value of the car after �t years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent.

This graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in the graph? Bicycle Rental 22 20 18 16 14 12 10 8 6. 2 Time (hours) O A. $4/hour B. 4 hours/dollar C. $2/hour D. 2 hours/dollar SUBMIT + PREVIOUS Cost ($)

Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)

. Fill in the "Years since 1970" column for the data to the right. Make a scatter plot in Excel of the data using Years since 1970 and Total Waste in Millions of Tons (Title your graph and label your axes appropriately). How would you best describe the trend? Add an exponential regression model to the data. Write the equation below. Is it a good fit? Explain how you know.  Based on the exponential model, what is the growth rate per year? Explain the meaning of the growth rate in the context of the data. Using the exponential model, make a prediction of how much plastic will be in landfills (and the ocean gyres) by Year Years since 1970 Total Waste in Millions of Tons 1970 0 249 1980 10 798 1985 15 1200 1990 20 1740 1995 25 2440 2000 30 3390 2005 35 4600 2010 40 6060 2015 45 7820     Do you think recycling alone will solve this problem (See Q11 and Q12)? What are some of the challenges in recycling plastic that might hinder the world from recycling all plastic…