how do you do 5.c, 6.c, and 6.d

5. Spread of a rumor. The rumor "People who study math all get scholarships" spreads across a college campus. Data in the following Time, t Number, N. Who table show the number of students N who have heard the rumor after in days) Have Heard the Rumor time t, in days. The scatterplot of the data is also shown. 7 sathW 25 - 12 iq ismissb 56 0 Va Vit WI nifevade 18 24 26 N (la peopley 28 10 28 11 29 12 30 a) Based on the scatterplot only, which model (linear, quadratic, exponential growth, exponential decay, log, or logistic) would you say we should use to model the situation? (Explain your choice. the scatterplot looks like, a logistic graph model. which is f (x ) = a Inv ends at sast wo It be - kx - one The b) Use REGRESSION to fit a equation to the data. As a reminder, the commands for each model are listed below. Write the equation of the model here. STAT, Edit (enter data into Li and Lz) MODEL: CALCULATOR COMMAND: Linear STAT, CALC (scroll down to model) 4:LinReg (ax+b) Quadratic 5:QuadReg ENTER until screen changes Logarithmic 9:LnReg Exponential O:ExpReg Logistic B: Logistic YE 1Htae ( bx ) 29. 47 S is anhee art of 165 shin's oy yud of Ineweinsing meY aulev ineesif ver y DE. 1+ (79. 6) 0 - ( 0.8 ) x. 1 ) on. lyshotmailessay D has agallon mont atsubs. c) Is there a limit on how many students will hear the rumor? If yes, what is that value? yes, there is a limit as the graph will eventually slow down. The number of people the shear, the rumors will start to level off as time goes by and it reache ) its maximum impact on the population.-n . - find . 6. Art masterpieces In 2004, a collector paid $104,168,000 for Pablo Picasso's "Garcon a la Pipe". The same painting sold for $30,000 in 1950. (Source: BBC News, 5/6/04). Voe KA The modeling assumption is that the value of the piece has grown exponentially, as given by: am = kV, where Vo represents the initial value, k is the growth rate and t is the time in years since 1950. a) Using the information above, find the values Vo and k. Round to three decimal places. Write a function for V(t) Vo = $30, 000 301 000 k ( 54 ) K = 0.. 151 v (+) = 30, 000p . 151(+) b) Estimate the value of the painting in 2022. m 1 2022 - 1950 = 72 V ( 72) = 30, 000 0. 151(72) ow vez voy blow job : $1580413977 c) How fast is the value of the painting increasing in 2022? N1041 680 00 = 30 0 0 0 e ( K 54 ) d+ dv = 0.09 x 104 168000 e (0. 09 ) ( 72 ) = 9611 230 585 . 8 - 1 d) When do you predict the value of the painting be $1.5 billion, assuming there is no change in the growth rate? Hebom of hugh love) QUAD TATE - 2