Date vponenti Vane emon Name: Date: 14. Use the information and equation to answer the following questions. Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website. y = 64(1.035)* 4 = 01( 1+r ) * Part A: What is the rate of growth Michael expects each week after launching the website? 4= 64(1.035)' r= 0:3.5 -7 3.5% Part B: How many users should Michael expect after the first month? Show your work. (1 month is 4 weeks) 4=64 (1.035) e of citywide of the percenter1. The graph shows an exponential function. What is the equation of the function? A. y = 2(1) x lop movie all ni oto By = (2) * C. y = (1)x D. y = 4(2) x 4 3 2 2 nollaup gullwallet wanp of figong ent eau the following 'S = (8 ) 1 2. The graph models the decay of radioactive element present over the years. Decay of a Radioactive Substance 100 75 % Radioactive remaining 25 AT er sinsmofote galwellol ent to dobtw A Age of sample (years) What is the average rate of change of the percentage of the element remaining over the first 2 years? A. 25 g/year CAT is 1. B. 37.5 g/year C. -25 g/year cloisy = 0. all real numbers D.)-37.5 g/yearName: emoM Date: 5. Aaron has 20,500 followers on social media. His number of followers is . increasing at a rate of 5% per week. Which function represents his number of followers each week? A. f(w) = 20,500(5) w B. f(w) = 20,500(0.05) w C. f(w) = 20,500(0.95) w D. ) f(w) = 20,500 (1.05) W 6. Use the table to answer the following question. n 2 3 4 5 . . . an 9 27 81 243 729 . . . Which of the following functions represents this sequence? A. f (n ) = 3n -1 B. f (n ) = 3. 3n -1 C . f (n ) = 9n- 1 303 (D. f (n ) = 9. 3n -1 Use the graph to answer the following question. f (x) = 2x .... .... 7. Which of the following statement is NOT TRUE about the graph of the exponential function f(x)? A. The y-intercept is 1. B. The range is y 2 0 . The asymptote is y = 0. D. The domain is all real numbers.Name: Sean Date: nd Interpreting Exponential Student Name: Teacher Name: Sa e: Name: Date: emoll a decay 13. Suppose that a car costs $36,000 and loses 15% of its value each year. The table below shows the value, v, of a car after, t, years. 0.15 le Sheets Number of Years = (S)1 ( 8) Since Purchase Value of Car (t) (v) 0 4= 36,000( 1-0.15) sit a $36,000 $30,600 goranoltoups antwollol endt to roidw /I 2 $26,010 jest = y . A Part A: Complete the missing values in the table. Number of Years Since Purchase Value of Car (t) (v) y= 36, 000 ( 1 -. 15 ) " 0 $36,000 -1 $30,600 2 $26,010 to offer nommoo erif a forW :A hof 3 $ 22, 108 4 Part B: Write an equation to find the value of the car, v, after t years. 4= 36, 000 (1-.15) labor of nollanut fallgra no amwy . hos Part C: What will be the value of the car after 12 years? Round your answer to the nearest hundredth. Show your work. 4-36.000(1-15)2 $5120. 70nd Inter :smol Name: Date: 10. Evaluate the following equation with the given value. to o forl seogaul .El Thewore waleed sidol A. f (2 ) = 1 f (x) = 3x - 4, find f(2) B. f ( 2 ) = 5 C. f ( 2 ) = 9 [v) D. f (2 ) = 3 000 88 11. Which of the following equations represents exponential decay? Jinghing A. y = 125(5)x 010.084 B. y = 100(1.04)* .olddot ert ni cablov galeaim olt atelame) :A b=] C. y = () D. y = 2(.54) * amsY towedmull 12. The first five terms of a sequence are shown. 000. 08 8 4 12, 36, 108, 324 , ... x 3 Part A: What is the common ratio of the function? The Common ratio is r= 3 S= 12 = 14 =3 Part B: Write an explicit function to model the value of the nth term in the sequence such that f(1) = 4. an = Cix in- 1 a1= 4 (in = 4xrn - 1 show woy word? silboyband festoon aril-terpreting Exponentic Name: Date: 8. Matt is an inground swimming pool salesperson. He estimates that the number of A a people installing inground swimming pools, y, in a town after x years could be prisonion) represented by the equation y=20(1.5)*. Which of the following is a graph of this woll equation? A. C. "(20.0)602 09 = (wit 8 900 900 300 a 100 9 600 lot endl ezU d .nolfoup Peopl 2 500 400 5 400 Number 3010 Number 300 200 100 EAS 100 3 1 5 Number of Years Da arlf emheedarenoNumber of Years ant to roidW B D. soC $ EUL anr EOC COC inonesup SOC Number of People AUL qpie snit paul Number of People 4ur COC ZOC 4 5 4 4: Number of Years Number of Years ving statement 9. Find the average rate of change for the indicated interval. Use the table below. 0