l Boost Mobile5:43 PM54%A ixl.comThere is a population of 18 bacteria in a colony.If the number of bacteria doubles every 177hours, what will the population be 708 hoursfrom now?bacteriaSubmitWork it outNot feeling ready yet? These can help:Exponential growth: word problemsExponential decay: word problemsEvaluate an exponential functionPercent of a number: tax, discount, and moreX IXL Practice in the appOPEN

Answered: There is a population of 18 bacteria in…

There is a population of 18 bacteria in a colony. If the number of bacteria doubles every 177 hours, what will the population be 708 hours from now? bacteria

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 41E

See similar textbooks

Related questions

Q: A colony of bacteria starts with 555 organisms and doubles every 3 weeks. After 8 weeks, what will…

A: A colony of bacteria starts with 555 organisms and doubles every 3 weeks. Initial population of…

Q: When a number is multiplied by 4 before subtracting from 68, the result obtained is the same as…

A: Let the number of our interest be x. Let us see the first half of statement. The number is first…

Q: If the number of bacteria in a colony doubles every 405 minutes and there is currently a population…

Q: If a chicken and a half lays an egg and a half in a day and a half how many eggs can 30 chickens lay…

A: It is given that a chicken and a half lays an egg and a half, in a day and half.That is, 1.5…

Q: two joiners and five mates earn 1824 between them for a particular job. if a joiner earn 72 more…

A: Here is the solution:

Q: The number of bacteria doubles each day. How many bacteria will a sample have after 13 days if it…

A: We have to find how many bacteria will a sample have after 13 days if it starts with 40 bacteria.

Q: When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What…

A: Given that, a number is increased by 20% the result is the same when it is decreased by 10% plus 12.…

Q: Dog A barks every 12 minutes while Dog B barks every 16 minutes. If they bark together at midnight,…

A: Please find attachment for the details solution

Q: If the number of bacteria in a colony doubles every 157 minutes and there is currently a population…

A: This problem can be solved without deriving any general formula

Q: According to statistics, a person will devote 37 years to sleeping and watching TV. The number of…

A: Number of years devote by the person in sleeping and watching TV is 37. The number of years sleeping…

Q: If each of the 16 players on baseball squad plays for the same amount of time, How Many minute does…

Q: There is a population of 65 bacteria in a colony. If the number of bacteria doubles every 484…

Q: Certain microorganism doubles every 2 hours. If initially, 280 bacteria of this kind are in the…

A: Given: The microorganism doubles every 2 hour. The number of bacteria at the start is 280. Concept…

Q: If a swimmer swims 85.4 years in five minutes, how many meters will she/he swim in 70.0 seconds?

A: In unitary method, first one unit is determined which when multiplied by the number of units gives…

Q: A man is six times as old as his son. Twenty years later, the man will be twice as old as his son.…

A: To find: The age of the man when his son is born. Given: The age of the man is six times the age of…

Q: A scientist observed that a certain species of bacteria grew by 18% each hour. How many bacteria…

A: Given that a certain species grew by 18% each hour. To find the number of bacteria present after 5…

Q: A number consists of two digits whose sum is 5. If 9 is subtracted from the number the digits are…

Q: Cheen is now fives times as old as Monokuma was 5 years ago. If the sum of Monokuma’s and Cheen’s…

A: GIVEN: Cheen is 5 times old as Monokuma was 5 years ago. sum of Monokuma’s and Cheen’s…

Q: Eight years ago, Zian was 4 times as old as Xander. How old is Xander now if his age is one-half of…

A: Assume that Xander was x years old 4 years ago. So Zian was 4x years old.

Q: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are…

A: Given: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old…

Q: A man is 21 years older than his son. Five years ago he was 4 times as old as his son. What are…

A: Let the age of son be x years, then the age of man is (x + 21) years, because man is 21 years older…

Q: s of october 25, the average number of daily confirmed COVID-19 cases in Country A is 3250 and the…

A: Topic - algebra

Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

Q: A population of 10 hamsters will triple every year. What will be the population after 7 years?…

A: Given: A population of 10 hamsters will triple every year…

Q: A boy is 10 years older than his brother. In 4 years he will be twice as old as his brother. Find…

A: Let presently boy= x years So, brother= x-10 years After 4 years, {x+4}=2{x-10+4} So, x= 16 years

Q: A surgeon would like to know how long it takes, on average, to complete a coronary artery bypass…

Q: The local newspaper in Salem has seen its subscribers go down 10% each year. The paper currently has…

Q: Find two numbers whose sum is 9 and their difference is 60. Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

Q: A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many…

Q: A colony of 7,800 bacteria doubles in size every 429 minutes. What will the population be 858…

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A: Here the bacteria culture initially contains 3000 bacteria and doubles every half hour.We have to…

Q: John, a computer engineer, is twice as old as his wife was when he was as old as his wife is now. He…

Q: A car got into an accident, so the owner decided to sell it as a sculpture. Turns out that a…

Q: Andrea is 3 times as old as Pauline, 10 years from now Andrea will be twice as old as Pauline, How…

A: Let the present age of Pauline be x. Andrea is 3 times as old as Pauline. Therefore the age of…

Q: When 20 is subtracted from five times a number, the result is the same as when 18 is added to three…

A: Given, When 20 is subtracted from five times a number, the result is the same as…

Q: There is a population of 900 bacteria in a colony. If the number of bacteria doubles every 279…

Q: If you go to school for 178 days each year and each day is 8 hours long, how many minutes are spent…

A: given that we goes to school for 178 days in each years and will spend 8 hours a day in the school.…

Q: When a number is decreased by 30% of itself, the result is 28. What is the number?

A: We have to find the number when it is given that when this number is decreased by 30% of itself,the…

Q: When a number is decreased by 10% of itself, the result is 36. What is the number?

Q: Tanya is 12 years older than Leah . Three years ago , Tanya was five times as old as Leah . What is…

A: Tanya age =18 years Leah age = 6 years For detail...go through the solution

Q: during the regular season, each of the 16 NFC teams in the NFL plays each other twice. How many…

A: For a game, we need two teams We have to pick 2 teams from a group of 16 teams. Order does not…

Q: A volleyball league consisting of 15 teams, each team plays each of the other teams exactly twice.…

A: Total teams =15 To find the league games will be played

Q: A man is three times as old as his son five years ago; he was five times as old as his son was at…

Q: The number of people infected with coronavirus doubles every 3.0 days. How many days does it take…

A: Given that the number of people infected with coronavirus doubles every 3.0 days.

Q: A mother is now three times as old as her daughter. In 4 years, the mother will be four times as old…

A: Let Mother's age now is M years Daughter's age is D years Given mother is now three times as old as…

Q: Suppose that the number of bacteria in a colony triples every hour If 100 bacteria are used to begin…

A: Given: 100 bacteria time =10 hours

Q: the sum of a number and 12 times its reciporcal is 8. find the number(s).

A: Given:Sum of a number and 12 times its reciprocal is 8.

Q: A father is 3 times as old as his son after twelve years his age will be twice as that of his son…

A: Let the son present age is x years, then the age of father is 3x years. from the given…

Q: The number of bacteria in a colony doubles every 30 minutes. If there are 2 bacteria now, how long…

A: to solve this problem we have to use geometric progression.

Q: If the number of bacteria in a colony doubles every 4 minutes and there is currently a population of…

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

Question

l Boost Mobile
5:43 PM
54%
A ixl.com
There is a population of 18 bacteria in a colony.
If the number of bacteria doubles every 177
hours, what will the population be 708 hours
from now?
bacteria
Submit
Work it out
Not feeling ready yet? These can help:
Exponential growth: word problems
Exponential decay: word problems
Evaluate an exponential function
Percent of a number: tax, discount, and more
X IXL Practice in the app
OPEN

Expert Solution

Step 1

$T h i s i s a n e x p o n e n t i a l g r o w t h p r o b l e m : A_{0} e^{r t} G i v e n i n t i t a l b a c t e r i a = 18 G i v e n t h e b a c t e r i a d o b u l e s s o r = 2 T i m e f a c t o r i s b a s e d o n d u r a t i o n o f 177 m i n u t e s t = \frac{708}{177} = 4$

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?
You invest $6000 at an annual rate of 4. Find the balance after 7 years for each type of compounding. a.Quarterlyb.Monthlyc.Continuous
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?
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?