The likelihood that a child will attend a live musical performance can be modeled by   q = 0.01(0.0007x2 + 0.38x + 36)    (15 ≤ x ≤ 100).   Here, q is the fraction of children with annual household income x thousand dollars who will attend a live musical performance during the year. Compute the income elasticity of demand E at an income level of $30,000. (Round your answer to two significant digits.) HINT [See Example 2.]   E=   Interpret the result.   At a family income level of $ 30000, the fraction of children attending a live musical performance is increasing by____      % per 1% increase in household income.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The likelihood that a child will attend a live musical performance can be modeled by
 
q = 0.01(0.0007x2 + 0.38x + 36)    (15 ≤ x ≤ 100).
 
Here, q is the fraction of children with annual household income x thousand dollars who will attend a live musical performance during the year. Compute the income elasticity of demand E at an income level of $30,000. (Round your answer to two significant digits.) HINT [See Example 2.]
 
E=
 
Interpret the result.
 
At a family income level of $ 30000, the fraction of children attending a live musical performance is increasing by____      % per 1% increase in household income.
 
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