(e) The table gives the amount of carbon emitted into the atmosphere in carbon dioxide from 1860 to 2000. These are cumulative totals (new amounts released each year have been added to those already there). year carbon / billions of tonnes 1860 1880 1900 40 50 60 1920 1940 1960 90 130 1980 2000 180 270 380 (1) On the grid, draw a line graph to show the amount of carbon emitted from 1860 to 2000. 400- 300- carbon /billions 200 of tonnes 100- 0+ 1860 1880 1900 1920 1940 1960 1980 2000 year (ii) Describe the two most important things that the graph shows about carbon emissions from 1860 to 2000.

The number N of Netflix subscribers in Grassyboro is shown in the table below. Estimate the instantaneous rate of growth in 2006 by taking the average of two rates of change. Year 2004 2005 2006 2007 2008 N 9200 9472 9508 9828 9920 Provide your answer below: subscribers per year

9. A certain bacteria population triples each minute. Suppose you begin with a single bacteria cell. a. Create a table of values to show the population of bacteria at the end of each minute for the first 5 minutes of growth. b. Graph the data from your table using the desmos graphing calculator. (insert below). c. Is the population of bacteria growing linearly or exponentially? Explain.

Which data set is exponential?     (0, 0.1), (1, 0.5), (2, 2.5), (3, 12.5)     (0, -1), (1, 0), (2, 7), (3, 20)     (0, -1), (1, 0.5), (2, 2), (3, 3.5)     (0, -1), (1, 2), (2, 11), (3, 26)

A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars)           kWhkWh 25 30 35 40 cost (dollars)cost (dollars)         (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form   f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…

2. a. Write an exponential equation of the form y = a(b)* that passes through the points (1, 6.4) and (4, 3.2768). Explain how you got your answer OR show your work. b. Identify the percent change that is modeled by your equation in part a. In other words, identify whether your equation represents a percent increase or decrease AND how much is that percent increase or decrease.

ENERGY (KILOWATT-HOURS) 600 500 400 300 200 400 420 370 0 JAN FEB MAR APR MAY 320 310 330 MONTH -380- JUN JUL AUG SEP 400 420 NOV 580 DEC The line graph shows the monthly consumption of energy in kilowatt-hours for a house during a one-year period. Find the total amount of energy consumed during the year.

Q1: In what years were global temperatures the lowest? Q2: In what years were global temperatures the highest? Q3: What trend is apparent in this graph of actual global temperatures?

Which values should you plot to show a linear relationship? Month Population Log(population) 1 1400 3.146 2600 3.415 4700 3.672 4 9000 3.954 17000 4.230 6. 32000 4.505 2. 3. 寸 5.