There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now? f (x) = 5+ S (x) = 2(5)* S(x) = 5(2)* f (x) = 5+ (2)*

Find the function f(x)=4x-5 if the domain is {-2,-1,3} what is the range

There were around 70,000 black rhinos in the world in 1970. After that, their population declined by a rate of 12.6% annually. Which function best describes the number of black rhinos remaining x years after 1970?

For each pair of functions, find (fog)(x), (gof)(x), and (fog)(6). 4. f(x) = 3x² 3. f(x) = 2x - 3 g(x) = 4x - 8 g(x) = x³ + 1

Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 75 bacteria are present to begin with, the total number present after x days is f(x) = 75.64*. Find the total number present after 1, 2, and 3 days. There will be Get Help: eBook bacteria present after 1 day, after 2 days and after 3 days.

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

The number of thousand mp3 players produced per month by a certain manufacturer t months after the start of the year 2004 can be described by the function f(t)=0.2t^2 + 3t + 3 As they sell more players, the company's profit increases both because they are selling more players and because economies of scale mean they can produce each player more cheaply. The manufacturer's total profit (in thousands of dollars) when x thousand mp3 players are made is given by the function g(x)=0.01x^2 +4x +20 We assume that the company sells all of the mp3 players that it produces. Calculate the rate at which the sales of mp3 players increases (in thousands of players per month) in terms of t.   Rate of increase :  .4t +3 thousand players per month. Calculate the rate at which the manufacturer's profit increases (in thousands of dollars per thousand mp3 players) in terms of x.   Rate of increase :  .02x +4 thousand dollars per thousand mp3 players. ?? Calculate the rate at which the manufacturer's…

The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since Twisty Cheese Sticks were introduced, sales of Spicheesy Nachos had been declining by 48 bags per month. Twisty Cheese Sticks currently sell 1,400 bags per month and it sales are increasing by 62 bags per month. Part A: Write expressions for f(x) and g(x) that represent each products sales. Part B: what is the solution to the system? Part C: what does the solution represent?