Practice 6.8: Reasoning About Exponential Functions%3D1. Here is a graph of the function f defined by f(x) = a(b)*. Select all possible valuesof b.A. 0B. TOD. 10E. 1F. 1.3G.2. The dollar value of a car is a function, f, of the number of years, t, since the car-12

Given: There is graph with downword exponential.

Answered: %3D Here is a graph of the function f…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 1SE: Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof...

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Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.
The table below shows the number of pencils the teacher had at the end of each day. Day (x) Pencils remaining(y) 1 4096 2 2048 3 1024 4 512 5 256 6. 128 a. How many pencils will the teacher have at the end of the day 10? b. Is this a linear,quadratic, or exponential function? Justify your reasoning.
Use the table to answer the question. Hours Number of Bacteria 0 20 million 4 22 million 8 25 million 12 28 million 16 32 million 20 36 million 24 40 million 28 45 million The scatterplot of these data, when graphed, reveals what relationship between hours and the number of bacteria? Explain. The scatterplot reveals that hours and number of bacteria have a strong exponential relationship since the points closely follow an exponential curve. Since the number of bacteria increases as time increases, the relationship is negative. The scatterplot reveals that hours and number of bacteria have a strong exponential relationship since the points closely follow an exponential curve. Since the number of bacteria increases as time increases, the relationship is positive. The scatterplot reveals that hours and number of bacteria have a strong linear relationship since the points closely follow a line. Since the number of bacteria increases as time…
See the table below. Is it linear, exponential or neither and why? Please give the function that models the table. x y 0 -16 1 -8 2 -4 3 -2 4 -1 5 -1/2
Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. The probability is modeled by the function y=6(257947)x, where x is the impurity concentration, and y, given as a percent, is the probability of the fuse malfunctioning. Find the probability of the fuse malfunctioning for an impurity concentration of 0.17. Round to the nearest percent. A. 26% B. 8% C. 50% D. 35%
An exponential function is modeled by the equation g(x) = 5 · 6x. Does the function represent growth or decay?
ASK YOUR TEACHER PRACTICE ANOTHER The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024. Year Income ($ billions) Year Income ($ billions) 1960 411.5 2008 12,100.7 1970 838.8 2014 14,728.6 1980 2307.9 2018 19,129.6 1990 4878.6 2024 22,685.1 2000 8429.7 These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960 and y as the total personal income in billions of dollars. (Round your numerical values to three decimal places.)y = 812580.292
Question: Is your data best described by an exponential decay? Try fitting with both a 2nd order polynomial and a power function as well, noting the R2 value in each case. Which is the best fit?
An October 2009 article in The Industry Standard states that "independent Twitter data shows exponential tweet growth." GigaTweet, an independent tweet-counting service, reports that the number of tweets was 5.0 billion in October 2009. In April 2009, the number of tweets was 1.6 billion. (a) Develop the exponential growth model that fits with these data, where t is the number of months after April 2009 and p is the number of tweets in billions. (Round the coefficient of t to seven decimal places.) p(t) = (b) Use the model to predict when there will be 35.0 billion tweets. (Round your answer to the nearest whole number.) ____months after April 2009
The table models the exponential function g(x).
A popular social media platform has begun offering stock shares to the public. In the past 2 years, the price of the stock has generally increased. An investment specialist gathers data on the stock price during the past 2 years and creates an exponential model for estimating the stock price based on the number of weeks after the first public offering. Based on the scatterplot and computer output, a reasonable estimate for the stock price for week 95 is: $2.27 because ŷ = 0.0022(95) + 2.0583 = 2.2673. $9.65 because and e2.2673 = 9.6533. $185.05 because and 102.2673 = 185.05. $220.44 because and 102.3433 = 220.44
Need help, q's are based on the table of values 1. Does the number of people infected grow exponentially until everyone in the room is infected? Provide a reasonable explanation and include data from the table to support your answer. 2. What will happen to table of values/chart, if each person shakes hand with 2 other persons instead of one? Explain. 3. What will happen to table of values/chart, if there are 5 persons infected? Explain.

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%3D Here is a graph of the function f defined by f(x) = a(b)*. Select all possible values of b. A. 0 В. c. D. E. 1 F. 1.3 18 G. -12