A bacteria sample is growing exponentially, as a seen in the table below.Hours sinceNumber ofobservationbacteria inbegansample20140237515042975510Which exponential regression equation best represents this data? (Round values to the nearest tenth.)A y= 32.6(1.6)*В у%3 15.1(0.8)*c y = 22.3(1.4)*D y = 20.5(1.9)*

A bacteria sample is growing exponentially, as a seen in the table below. Hours since observation Number of bacteria in sample began 20 1 40 75 150 297 510 4 Which exponential regression equation best represents this data? (Round values to the nearest tenth.)

A bacteria sample is growing exponentially, as a seen in the table below. Hours since observation Number of bacteria in sample began 20 1 40 75 150 297 510 4 Which exponential regression equation best represents this data? (Round values to the nearest tenth.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...

See similar textbooks

Related questions

Q: The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round…

A: Logistic Regression: Enter the data in Desmos online calculator: Output: Therefore, the logistic…

Q: 6 Jean invested $380 in stocks. Over the next 5 years, the value of her investment grew, as shown in…

Q: Not long ago, a popular car magazine raced a Dodge Viper SRT- 10 on an airport runway to see how…

Q: Use exponential regression to find an exponential function that best fits this data. Round your…

A: Given, x 1 2 3 4 5 6 y 602 452 322 257 181 136

Q: A graphing calculator is recommended. The table gives the population of the United States, in…

A: Given: Year Population Year Population 1900 76 1960 174 1910 94 1970 207 1920 108 1980 223…

Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

Q: Do the following table of values represent a exponential fuction? If it does. What is the growth…

Q: The average annual salary of an NBA player increased from $170 thousand in 1980 to $2.6 million in…

A: Let the exponential relationship between years (t) and Annual salary (S) is given by S = AeBt + E…

Q: c. Exponential Trend: In(y) = 1.5 + 0.09t,se - 0.03 (Round intermediate calculations to at least 4…

A: (a) 37.97 answer (b) 16.97 answer

Q: Tough Face, a manufacturer of rock-climbing gear, has been enjoying steady growth of its very…

A: We haveα = 0.75β=0.85Initialisation:A1 =250T1=150 Formula to be…

Q: The following table is world population, in billions, for seven selected years from 1950 through…

Q: In 1989, research scientists published a model for predicting the cumulative number of AIDS cases…

A: In 1989,research scientists published a model for predictingthe cumulative number of AIDS cases…

Q: The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round…

Q: When rabbits were introduced to the continent of Australia they quickly multiplied and spread across…

A: Using the Standard Formula of Exponential Regression:

Q: purchased for 14900 dollars, where x is years and y is the value of the car in dollars. Write an…

Q: Find a natural logarithm regression equation for the data in Table 1.16 and superimpose its graph on…

A: Year Cubic Feet(trillions 1997 5.76 1998 5.98 1999 6.26 2000 6.47 2001 6.60

Q: The table below shows outstanding consumer credit (in billions of dollars) at the beginning of…

A: Let the exponential model be yi=abtiTaking logarithm on both sides, we get…

Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

A: Solution of given question is written in below steps.

Q: The table to the right shows the number of internet hosts from 1994 to 2012. (A) Let x represent…

A: Introduction: We need to fit the exponential regression model of the form y = abx to the data set,…

Q: A male child is 18 inches long at birth and will grow to a height of 73 inches. The intrinsic…

Q: a. Using Sherie's data, find the best-fit exponential equation for this growth, through both the…

A: given days after march 1st 0 1 5 10 population 57 95 700 8525

Q: Review the table showing the percentage of contaminants remaining in a water sample after passing…

A: Exponential regression: Suppose (x1, y1), (x2, y2)---(xn, yn) are n pairs of observations on…

Q: 4. The table below shows the concentration of ozone in Earth's atmosphere at different altitudes.…

Q: Find the exponential function that models the data in the table below.…

A: Steps to construct scatter plot in Excel: Enter the data for X and Y in Excel sheet>Select the…

Q: The following table shows the number, in millions, of cell phone subscribers C in the United States…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Not long ago, Car and Driver magazine ran several sports cars as fast as they could down a 1-mile…

A: Given data: time (sec) speed (mph) 3.1 60…

Q: The number of Facebook users for each year from 2004 to 2016 can be found in the table below.Round…

Q: The accompanying table shows the value of a car over time that was purchased for 16300 dollars,…

Q: a scuba diver used her camera equipment to measure the intensity of light, in lux, as she dove into…

A: Use the given data to form the excel table: x y ln x ln^2 (x) y*ln x y = a + b*lnx 5 2.3…

Q: For this exercise, round all regression parameters to three decimal places. The table below shows…

A: We perform exponential regression using the step by step procedure in excel as below: We first…

Q: The value of y varies exponentially with respect to x and the 1-unit growth factor is 1.9. Which of…

Q: Find the exponential function that models the data in the table below. -4 -3 -2 2 3 8 8. y 8 24 72…

A: The equation for the exponential curve is given by, y=a*bx To get the two normal equations, taking…

Q: For this exercise, round all regression parameters to three decimal places. The table below shows…

Q: An October 2009 article in The Industry Standard states that "independent Twitter data shows…

Q: The numbers of polio cases in the world are shown in the table for various years. Year Number of…

Q: 4. The height of a sunflower was recorded every seven days as it grew. Day 7 14 21 28 35 42 Height…

A: Given is the data for the height of a sunflower that was recorded for every 7 day as it grew. The…

Q: Use exponential regression to fit the data set. (Round your answers to two decimal places.) x 1 2…

A: Use exponential regression to fit the data set. (Round your answers to two decimal places.) x 1…

Q: The accompanying table shows the value of a car over time that was purchased for 18600 dollars,…

Q: 1 6. 952 1134 1406 1849 2075 2817 y (a) Use data above to determine an exponential regression…

A: the trend line is: Y= 752.15*(1.24^x)

Q: The accompanying table shows the value of a car over time that was purchased for 14100 dollars,…

A: Given: Years (X) Values in dollar (Y) 0 14100 1 13009 2…

Q: The table below shows the number of individuals infected with a disease t days after its first…

A: Given that, Days 1 2 3 4 5 6 7 8 Infected Individuals 1068 1723 2723 4393 7914 12408 19824…

Q: The table shows a city's population at 10-year intervals from 1970 to 2000. t = 0 represents 1970.…

A: The standard form of exponential equation is given below:

Q: to determine the rate of decay, 1 gram of 239U was placed in a container, and the amount remaining…

Q: I The data collected by a biologist showing the growth of a colony of bacteria at the end of ea hour…

A: Explanation and solutions is given below....

Q: Good news: in 2022, the quokka population of Rottnest Island is increasing. The population numbered…

A: It is given that, in 2022 the quokka population of Rottnest island is increasing. In the beginning…

Q: When debris is dropped from a cliff its height, h, measured ih feet at VarluS times ,t, measured in…

Q: What value of a completes the equation y= a x 2^x for the exponential growth function shown

A: To find value of a

Q: Use exponential regression to find an exponential function that best fits this data.

Q: The value of y varies exponentially with respect to x and the 1-unit growth factor is 1.8. Which of…

Q: Nitrogen dioxide, NO2, is an air pollutant resulting from burning fossil fuels in cars and power…

A: Given information: Given data represents the values of the dependent variable y = NO2 and the…

Question

A bacteria sample is growing exponentially, as a seen in the table below.
Hours since
Number of
observation
bacteria in
began
sample
20
1
40
2
3
75
150
4
297
5
510
Which exponential regression equation best represents this data? (Round values to the nearest tenth.)
A y= 32.6(1.6)*
В у%3 15.1(0.8)*
c y = 22.3(1.4)*
D y = 20.5(1.9)*

Expert Solution

Step 1

Let hourse since observation began be x and number of bacteria sample be y.

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?
Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.