A tortoise and a hare are competing in a 1600-meter race. The arrogant hare decides to let the tortoise have a 540-meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second andthe tortoise begins crawling at a constant speed of 6 meters per second.a. Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the numberof seconds t since the start of the race.f(t)Previewb. Solve f(t) = 0 for t.t =Previewc. Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number ofseconds t since the start of the race.g(t)Previewd. Solve g(t) = 0 for t.t =Previewe. Who won the race? | Select an answer

Answered: A tortoise and a hare are competing in…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram. Express the total area of the pasture as a function of x if 1000 feet of fencing is available for construction.
According to the postal service in the United States, first class mail is used for personal and business correspondence. Any item that is sent by mail, could be sent first class. Includes postcards, letters, large envelopes, and small packages. Maximum weight is 13 ounces. The following function is used to calculate the cost of mailing a first class letter, where x is the weight of the package in ounces. Calculate the cost in dollars of shipping a package first class for the following weights: A letter weighing 4.3 ounces: ____ dollarsA postcard that weighs 0.4 ounces: ____ dollarsA package weighing 12.2 ounces: ____ dollars
The thickness of ice y in the Gladstone Glacier was 450 feet in 1990. By 2005, the thickness had shrunk to 400 feet. Let x be the elapsed number of years since 1990. Write a linear function that models this data. Then use the function to find the given value. (Simplify your answer and round to TWO decimal places, including zeros as needed. Example: 2 should be written as 2.00. Do not include commas.) Estimate the year when the Gladstone Glacier will be 350 feet thick. (Round your answer to TWO decimal places, including zeros as needed. Example: 2 should be written as 2.00. Do not include commas.)
A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?
Jeff delivers pizza for Papa Jim’s Pizza. Papa Jim’s pays Jeff $6.75 per hour. In addition to this hourly rate, Jeff earns $0.65 for every pizza he delivers. Write the function that describes Jeff’s wages, where x represents the number of pizzas he delivers during a 8-hour shift. If Jeff works a 8-hour shift and delivers 67 pizzas during his shift, how much money will he earn?
A 1000-square-foot rectangular plot of land is going to be divided into three equal-sized, adjacent playgrounds (see diagram). Find the number of feet of fencing required as a function of x. (Note: there is only one fence between the playgrounds, not two.) Answer:
Each horse you own eats 4 bales of hay per month. Each bale of hay costs $15. a. Create a function called f whose input is the number of horses you own and whose output is the number of bales of hay eaten per month. Use x as your input variable. b. Create a function called g whose input is the number of bales of hay eaten per month and whose output is the total cost. Use x as your input variable. c. Create a function called / whose input is the number of horses you own and whose output is the total cost. Use x as your input variable. d. If you own 5 horses, use your functions f, g and h to find out how many bales of hay are eaten per month and how much money this will cost. e. Draw a diagram of the three functions f, g, and h. Show the input and output of each function, and their relationship.
The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m ?

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