The percentage of the US population that lived in multi-generational households2 is well-modeled by f(t): = 0.007t² -0.59t + 25, where t is the number of years after 1940, and 0 ≤ t ≤ 70. (a) Find the absolute maximum and absolute minimum value of f on the interval 0 ≤ t ≤ 70. Please make it clear which answer is which. (b) Give a complete sentence interpretation of the absolute minimum that you found in part (a) in the context of this problem. (c) Give a complete sentence interpretation of the absolute maximum that you found in part (a) in the context of this problem.

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...
Question
The percentage of the US population that lived in multi-generational households2 is well-modeled by
f(t) = 0.007²-0.59t + 25, where t is the number of years after 1940, and 0 ≤ t ≤ 70.
(a) Find the absolute maximum and absolute minimum value of f on the interval 0 ≤ t ≤ 70. Please make it
clear which answer is which.
(b) Give a complete sentence interpretation of the absolute minimum that you found in part (a) in the
context of this problem.
(c) Give a complete sentence interpretation of the absolute maximum that you found in part (a) in the
context of this problem.
Transcribed Image Text:The percentage of the US population that lived in multi-generational households2 is well-modeled by f(t) = 0.007²-0.59t + 25, where t is the number of years after 1940, and 0 ≤ t ≤ 70. (a) Find the absolute maximum and absolute minimum value of f on the interval 0 ≤ t ≤ 70. Please make it clear which answer is which. (b) Give a complete sentence interpretation of the absolute minimum that you found in part (a) in the context of this problem. (c) Give a complete sentence interpretation of the absolute maximum that you found in part (a) in the context of this problem.
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