Suppose the likelihood that a child will attend a live theatrical performance can be modeled by q = 0.01(-0.0076x2 + 1.4x + 4.1) (15 sxs 100). Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of $20,000. (Round your answer to two decimal places.) HINT [See Example 2.] E = Interpret the result. At a family income level of $ , the fraction of children attending a live theatrical performance is increasing by % per 1% increase in household income.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Suppose the likelihood that a child will attend a live theatrical performance can be modeled by
q = 0.01(-0.0076x² + 1.4x + 4.1)
(15 < x< 100).
%3D
Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of
$20,000. (Round your answer to two decimal places.) HINT [See Example 2.]
E =
Interpret the result.
At a family income level of $
the fraction of children attending a live theatrical performance is increasing by
% per 1% increase in household income.
Transcribed Image Text:Suppose the likelihood that a child will attend a live theatrical performance can be modeled by q = 0.01(-0.0076x² + 1.4x + 4.1) (15 < x< 100). %3D Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of $20,000. (Round your answer to two decimal places.) HINT [See Example 2.] E = Interpret the result. At a family income level of $ the fraction of children attending a live theatrical performance is increasing by % per 1% increase in household income.
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