1. For each problem, identify the type of function you are dealing with (linear, quadratic, or exponential), and then define the function. Hint, there is only one of each type. Show all your work. (a) The average price of a home in Cincinnati, OH, in 2015 was $111,200, and growing at about 3% per year. Define the function A(t), that gives the population of the town t years after 2015. (b) Leslie is building an enclosure for her cows and bulls. She has 600 feet of fencing and wants to make a rectangular enclosure with as much area as possible, but she wants to build another wall of fencing through the middle of the enclosure so that the cows and bulls each get separate halves of the space. Draw a picture, and label the three parts of the pen that have the same length as the dividing fence with an x. Write a function B(x) for the area of the enclosure in terms of the side length x. Ben is driving at a constant speed of 65 miles per hour. When he starts keeping track of time, he is 15 miles from home. Write a function, C(t) that tells us the number of miles Ben is from home t hours after he starts keeping track of time.

1. For each problem, identify the type of function you are dealing with (linear, quadratic, or exponential), and then define the function. Hint, there is only one of each type. Show all your work. (a) The average price of a home in Cincinnati, OH, in 2015 was $111,200, and growing at about 3% per year. Define the function A(t), that gives the population of the town t years after 2015. (b) Leslie is building an enclosure for her cows and bulls. She has 600 feet of fencing and wants to make a rectangular enclosure with as much area as possible, but she wants to build another wall of fencing through the middle of the enclosure so that the cows and bulls each get separate halves of the space. Draw a picture, and label the three parts of the pen that have the same length as the dividing fence with an x. Write a function B(x) for the area of the enclosure in terms of the side length x. Ben is driving at a constant speed of 65 miles per hour. When he starts keeping track of time, he is 15 miles from home. Write a function, C(t) that tells us the number of miles Ben is from home t hours after he starts keeping track of time.

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,...

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Question

1. For each problem, identify the type of function you are dealing with (linear, quadratic, or
exponential), and then define the function. Hint, there is only one of each type. Show all
your work.
(a) The average price of a home in Cincinnati, OH, in 2015 was $111,200, and growing at
about 3% per year. Define the function A(t), that gives the population of the town t
years after 2015.
(b) Leslie is building an enclosure for her cows and bulls. She has 600 feet of fencing and
wants to make a rectangular enclosure with as much area as possible, but she wants to
build another wall of fencing through the middle of the enclosure so that the cows and
bulls each get separate halves of the space. Draw a picture, and label the three parts
of the pen that have the same length as the dividing fence with an x. Write a function
B(x) for the area of the enclosure in terms of the side length x.
(c) Ben is driving at a constant speed of 65 miles per hour. When he starts keeping track
of time, he is 15 miles from home. Write a function, C(t) that tells us the number of
miles Ben is from home t hours after he starts keeping track of time.

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