Psychologists sometimes use the function L(t) = A(1 - e-kt ) to measure the amount L learned at time t. Here A represents the amount to be learned, and the number k measures the rate of learning. Suppose that a student has an amount A of 200 vocabulary words to learn. A psychologist determines that the student has learned 20 vocabularywords after 5 minutes.(a) Determine the rate of learning k.(b) Approximately how many words will the student have learned after 10 minutes?(c) After 15 minutes?(d) How long does it take for the student to learn 180 words?

The following graph shows the number T = T(d) of tornadoes in Oklahoma (F1/EF1 and stronger) reported by the National Climatic Data Center. Round your answers to the nearest whole number. T T(d) Number of Tornadoes 100 80 60 40 20 0 2009 2010 2011 2012 2013 2014 d = Date (a) When were the most tornadoes reported? How many were reported in that year? tornadoes (b) When were the fewest tornadoes reported? How many were reported in that year? tornadoes d (c) What was the average yearly rate of decrease in tornadic activity from 2013 to 2014? tornadoes per year (d) What was the average yearly rate of increase in tornadic activity from 2009 to 2011? tornadoes per year (e) What was the average yearly rate of change (that is, the average yearly rate of total increase or total decrease) in tornadic activity from 2009 to 2012? tornadoes per year

Match each P-value with the graph that correctly displays its area. P = 0.0918 P = 0.0672 P=0.2709 P=0.0336 P = 0.0918 corresponds to P = 0.2709 corresponds to P=0.0672 corresponds to P=0.0336 corresponds to ▼ ▼ ▼ C (a) A A -4 -1.83 -4 -0.61 (c) (b) A 1.33 (d) -1.83 1.83 4

The function, f. gives the number of copies a book has sold w weeks after it was published. The equation f (w) = 500 2" defines this function. %3D Select all domains for which the average rate of change could be a good measure for the number of books sold. O0sws 2 OOsws7 O 5 s ws 7 O5 sws 10 O O sws 10