Suppose C = 45 + 0.5t and L = 9 + 2.5t represent the population (in thousands) of two cities, Clarksville and Lanesville, respectively. Determine the number of years it will take for their populations to be (a) equal, and (b) for Clarksville to have twice as many inhabitants as Lanesville. Also report the population of the towns for each situation. (a) In how many years will the population of Clarksville equal that of Lanesville? Number years What will be their populations?

Suppose C = 45 + 0.5t and L = 9 + 2.5t represent the population (in thousands) of two cities, Clarksville and Lanesville, respectively. Determine the number of years it will take for their populations to be (a) equal, and (b) for Clarksville to have twice as many inhabitants as Lanesville. Also report the population of the towns for each situation. (a) In how many years will the population of Clarksville equal that of Lanesville? Number years What will be their populations?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: There are some apples and oranges in a fruit basket. If Eve eats 2 apples, the number of apples left…

A: Let x be the number of apples and y be the number of orange inthe fruit basket.

Q: 2.) An adult elephant weighs about 1000 pounds, while a baby elephant weighs about 200 pounds. How…

A: We have given that Adult elephant weight=1000 pounds Baby elephant weight=200 pounds Fund the…

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

Q: If a quantity increases by 3 orders of magnitude, by what factor does it increase?

A: Given: A quantity increase by 3 orders of magnitude. To find: What factor does it increase.

Q: Danny has 2/3 as many toy cars as Jack. They have a total of 75 toy cars. How many toy cars does…

Q: f you read 20 minutes per day every day and end up reading 12 books in a year, each of which is of…

A: Number of books reading in a year = 12 Number of pages in a book = 200 Number of minutes read every…

Q: How many people can be fed with 10 1/2 pizzas if each person is to get 3/8 of a pizza?

Q: If a car can travel 180 kilometers in 2 hours, how many hours will it take the car to travel 315…

A: Given that car can travel 180 KM in 2 hours .

Q: A is two years old older than B who is twice as old as C. If the total of ages of A, B, & C be 27,…

A: Let the age of C be x . Then B's age and A's age are 2x and x respectively.Then formulate an…

Q: The population of Boomtown is currently 12000 and expected to grow by 2.6% over the nex What will…

A: 1)Given data,Population of Boomtown is =12000And its expected to grow by 2.6%what will be the…

Q: only 2 people c

A: answer of given question is in step 2

Q: Q. 3 Anywhere Health Care Facility performed 692 surgical procedures during March and administered…

A: A mortality rate is a measure of the frequency of occurrence of death in a defined population during…

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car is given V = 25000-2100n After 5 year then n = 5

Q: If Sue eats 1/8 of a large cake, and Bill eats 2/4 of a small cake, who eats more cake?

A: Let large cake = 1 pound Small cake = 1/2 pound Sue eats 1/8 of large cake. Bill eats 2/4 of a…

Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: If darin traveled 30 miles in 2 hours, and ed traveled three times as far in half the time, what was…

A: Darin travelled 30 miles in 2 hours. Ed travels thrice this distance in half the time.

Q: If a golf course is open 3,600 hours a year and 360 days a year, how often would the golf course be…

A: Number of hours in day is 24 hours. 24 hours=1 day3600 hours=124×3600 days=150 days

Q: When a drug such as a pain killer or an antibiotic is introduced into the body, the kidneys work to…

Q: A bacteria triples its original population in 18 hours (A = 3A0). How many times larger than the…

A: Let the population of bacteria at time t is given by: A(t)Intial population of bacteria is:…

Q: A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5…

A: Given that, the temperature of a body is 50°F which is placed outdoors where the temperature is…

Q: If the width of a certain rectangle has its width increased by 25 and its length decreased by 15,…

Q: For what two population levels will the population grow by 2 thousand over a day ?

A: Given G=-0.03n2+n Where G is the population growth and n is the population size . For G=2000 find…

Q: A baseball is thrown from a height of 40 feet and goes up at the rate of 2.5 fett per second. A…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose C = 45+ 0.5t and L = 9 +2.5t represent the population (in thousands) of two cities, Clarksville and Lanesville,
respectively. Determine the number of years it will take for their populations to be
(a) equal, and
(b) for Clarksville to have twice as many inhabitants as Lanesville.
Also report the population of the towns for each situation.
(a) In how many years will the population of Clarksville equal that of Lanesville?
Number
years
What will be their populations?
Number
thousand people

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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

Assume that the ABC company has sales of 1950000 dollars and it's sales are growing at a rate of 50000 dollars per year. Assume that the XYZ company has sales of 1290000 dollars and it's sales are growing at a rate of 110000 dollars per year. In how many years will the sales of the two companies be equal? What will be the sales of each company when they are equal? $
QUESTION 1 A doctor prescribed his patient pills that must be taken twice a day. The pills consist of medication that contains 20 mg dosage for each pill taken. How many days does the patient have to take the pills if the total dosage is to be 500 mg? Round to the tenth. QUESTION 2 You are supporting a dental hygienist team on a community assignment and you are asked to purchase supplies. Eight sets of rinsing cups with 10 cups per set are ordered. Additionally, 50 sets of dental cleaning kits containing 2 brushes, 2 toothpastes, and one floss inside of each are ordered. You have been told that each rinsing cup is 10 cents each. The full cleaning kit costs $5.99. What is the purchase price for this order? No taxes are added. Round to the cent. Provide unit.
A population is now 40 million and is expected to double in 25 years. How many years will the population be three times the present
Arianna went running for 0.75 hours and ran 5.55miles. What was her speed, in miles per hour, if Arianna ran at the same speed for her whole run?
Alexandra estimates that one-fifth of a certain type of stone had a mass greater than one-eighth of a gram. If she has 600 of these stones, about how many stones has have a mass less than or equal to one-eighth of a gram?
Dani is Estevan's father and both noticed that, in 6 years, the son will have half the age difference between father and son. In addition, this difference is equal to four times the child's current age. Thus, Dani's current age is A 24 years. B 28 years. C 30 years. D 36 years. E 34 years.