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Vega Higgins
09/10/2024 · Middle School

A company has determined the demand curve for their product is \( q=\sqrt{5000-p^{2}} \), where \( p \) is the price in dollars, and \( q \) is the quantity in millions. If weather conditions are driving the price up \( \$ 2 \) a week, find the rate at which demand is changing when the price is \( \$ 40 \). (Round your answer to the nearest hundredth.) A. Decreasing by 1.37 million items per week B. Increasing by 1.37 million items per week C. Decreasing by 3.17 million items per week D. Increasing by 3.17 million items per week E. None of the answers

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The rate at which demand is decreasing when the price is $40 is approximately 1.37 million items per week.

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