Small BreweriesU.S. craft-beer breweries (breweries that make fewer than 6 million barrels annually and are less than 25% owned by big breweries) have been doing booming business. The number of these small breweries from 2008 through 2012 can be modeled by using a quadratic function of the formf(t) = at2 + bt + cwhere a, b, and c are constants and t is measured in years, witht = 0corresponding to 2008.† (a) Find a, b, and c if f(0) = 1,547, f(2) = 1,802, and f(4) = 2,403. a=b=c= (b) Use the model obtained in part (a) to estimate the number of craft-beer breweries in 2014, assuming that the trend continued. (Round your answer to the nearest integer.)

Given data:- The number of US craft beer breweries is molded by a quadratic equation, f(t)=at2+bt+c…

Answered: U.S. craft-beer breweries (breweries…

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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Small Breweries

U.S. craft-beer breweries (breweries that make fewer than 6 million barrels annually and are less than 25% owned by big breweries) have been doing booming business. The number of these small breweries from 2008 through 2012 can be modeled by using a quadratic function of the form

f(t) = at² + bt + c

where a, b, and c are constants and t is measured in years, with

t = 0

corresponding to 2008.†

(a) Find a, b, and c if f(0) = 1,547, f(2) = 1,802, and f(4) = 2,403.

(b) Use the model obtained in part (a) to estimate the number of craft-beer breweries in 2014, assuming that the trend continued. (Round your answer to the nearest integer.)

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