The demand for personal computers in the home goes up with household income. For a given community, we can approximate the average number of computers in a home as: q = 0.3454 ln x − 3.047        10,000 ≤ x ≤ 125,000 where x is mean household income.60 Your community has a mean income of $30,000, increasing at a rate of $2,000 per year. How many computers per household are there, and how fast is the number of computers in a home increasing? (Round your answer to four decimal places.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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The demand for personal computers in the home goes up with household income. For a given community, we can approximate the average number of computers in a home as:
q = 0.3454 ln x − 3.047        10,000 ≤ x ≤ 125,000

where x is mean household income.60 Your community has a mean income of $30,000, increasing at a rate of $2,000 per year. How many computers per household are there, and how fast is the number of computers in a home increasing? (Round your answer to four decimal places.)

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