Answered: The value of y varies exponentially…

The value of y varies exponentially with respect to x and the 1-unit percent change is 251%. Which of the following is the 1-unit growth factor for y? 351 1.51 151 2.51 3.51

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter6: Exponential Functions And Sequences

Section6.4: Exponential Growth And Decay

Problem 1E

See similar textbooks

Related questions

Q: Find an exponential function that fits the experimental data collected over time t.

A: We need to find the exponential function that fits the experimental data collected over a time t.…

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

Q: The amount of a new allergy drug, theramoxin, decreases by 29% every 5 hours. A) Determine the…

A: A) The amount of drug decrease 29% every 5 hours. Thus, the 5-hour change factor is -0.29 and per…

Q: There were about 1.92 million Hispanic-owned businesses in 2001 and 2.42 million in 2003. a) Find an…

Q: The table below gives the value, y (in dollars) for a car x years after it was bought. х 3 4 18,000…

A: Given,

Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in 1…

A: We need to calculate the interest earned in 1 year when a deposit of P5000 is compounded at 5%…

Q: 12. The exponentialfunction modeled belowrepresents the number of bacteria in a petridish in a…

Q: The following table shows an exponential model: t 4 8. 12 16 g(t) 38.30 28.65 21.43 16.04 11.99 Does…

A: Given, t 0 4 8 12 16 g(t) 38.30 28.65 21.43 16.04 11.99

Q: A tube of toothpaste is found to have 113 bacteria present one month after it was bought and 559…

A: Let the exponential model be written as,

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

Q: The investment company offer that your invested money will growing exponentially. A man invested…

A: Given that the money is growing exponentially. Thus, the expression to be used is A=A0·er·t , where…

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: During an epidemic, the number of people who have never had the disease and who are not immune…

A: f(t) = 16000e-0.04tat the beginning t = 0 f(0) = 16000

Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some…

A: Given: Px=901+271e-0.122x

Q: The number of Twitter employees are shown in the table for various years. Let f(t) be the number of…

A: (b) Consider the general formula for the exponential function f(t) and use the data for the 1st 2…

Q: Below is the graph of an exponential function,y=g(x). 400 y 300 (2,300) 200…

A: Let g(x)=ab^x

Q: The population of bees in a suburban area is experiencing exponential decay from year to year. The…

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

Q: 2. Which of the following exponential functions represent exponential growth? Select all that apply.…

A: Please find the answer in sectuion…

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: The table contains some points on the graph of an exponential function. y 0.0625 1 0.25 2 1 3 4…

Q: Given the Exponential Function, determine the Initial Value and Rate of Change as a Percent for each…

A: f(x) = a (b)x 0<b<1: f(x) is decay function.b>1: f(x) is growth function.anda represents…

Q: A tube of toothpaste is found to have 58 bacteria present one month after it was bought and 414…

A: Let B0 represents the number of bacteria present in the toothpaste at the time of purchase. Then,…

Q: People in the United States are drinking less of a certain juice than they have in the past. years…

A: Use the given data to form the excel table: X Y Y2 ln y ln y2 0 10.5 110.25 2.351375257…

Q: The value of y varies exponentially with respect to x and the 1-unit percent change is 221%. Which…

A: topic - functions

Q: The table gives the approximate number of degrees Fahrenheit above room temperature of a cup of tea…

A: The given problem is to find the exponential model for given time and temperature data. we have to…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: here, y and t are the variables and the c and k are the constants the coordinates through which the…

Q: Joseph consumes an energy drink that contains caffeine. After consuming the energy drink, the amount…

A: Given, The 10-hour decay factor for the number of mg of caffeine in Joseph's body is 0.2601.

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the graph we can clearly see that the function is passing through 0,2 and 4,3Nowsubstitute 0,2…

Q: Suppose you know that the values in the table for y(t) grow or decay exponentially. Which of the…

A: Data are given in 5 years interval; so exponential function can be written as; y(t)= y0 (b)5t where…

Q: Which of the following functions exhibits exponential decay? A (=) = (})" %3D a (a) = 2 fa (2) =…

A: We have to tell which of the following function exhibits exponential decay 1. f1(x) =(1/2) x 2.f2…

Q: 15. The logistic growth function P(x) = 90 models the percentage, P(x), of Americans who are x…

Q: Suppose the population of migratory birds increases according to the law of exponential growth.…

A: Put values in exponential growth formula and determine

Q: Hemodialysis is a process by which a machine is used to filter urea and other waste products from an…

Q: The formula for an exponential function is y= 54 x 0.94t , where t is measured in months. Then the…

A: Given that y=54(0.94)t For t=0, the initial value is= 54(0.94)0 = 54(1)= 54 for t=1 , the value is…

Q: the half life of caffeine in a healthy adult's bloodstream in 5.7 hours. suppose alex, a healthy…

A: Given that, The half life of caffeine in a healthy adult's bloodstream in 5.7 hours. Alex, a healthy…

Q: Determine whether the following scenarios are linear or exponential. As summer approaches, I…

A: we have to find the given scenarios are linear or exponential.

Q: Determine whether the following equation represents an exponential growth or exponential decay.…

Q: Use the given graph of an exponential function to answer the following questions. a. As z increases,…

A: a. By observing few values on graph we can conclude. As x increases, y decreases. b. The value of y…

Q: Suppose that the dollar value v (t) of a certain car that is t years old is given by the following…

A: Given: an exponential function for the value of a car in dollars v(t) = 24500 (1.25)t

Q: Suppose that the dollar value v (t) of a certain car that is t years old is given by the following…

A: Use exponential function

Q: Find the exponential function y = Cekt that passes through the two given points. y = y (0, 8) 8 7 4…

A: To find exponential function

Q: The population of a small city was about 10000 people in 1980. The population was growing…

A: We have, Growth rate =1.5 and population in 1980 is 10000. In the long run the population is: 70000…

Q: Use the given graph of an exponential function to answer the following questions. a. As a increases,…

A: In the question it is asked to calculate following things for the exponential function given. The…

Q: Find an exponential function having the given values. 1. f(0) = 5, f(3) = 40 2. f(0) = 80, f(4) =…

A: We find the exponential functionGiven condition(1) F(0) = 5, F(3) = 40(2) F(0) = 80 , F(4) =5

Q: The Jones bought a new house for $149700. Because of economic growth in the area, the value of their…

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

Q: Determine wherher the equation y=e^-x could represent exponential growth, decay or neither.

A: Basics of MATHEMATICS.

Q: Stock values for a certain company are recorded in the table. x (Weeks Since 5 Years Ago) y…

Q: Given the following exponential function, identify whether the change represents growth or decay,…

Question

The value of y varies exponentially with respect to x and the 1-unit percent change is 251%. Which of the following is the 1-unit growth factor for y?

351
1.51
151
2.51
3.51

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Rachel invests $15,000 at age 25. She hopes the investments will be worth when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
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?
You invest $500 at an annual interest rate of 5.25, compounded continuously. How long will it take your money to double? Compare your result with that of Example 10.
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?
Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?
Match the exponential function with one of the graphs labeled I,II,III and IV, shown below. (a) f(x)=2x (b) f(x)=2x (c) f(x)=2x (d) f(x)=2x
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 ?