The Point $P(4,2)$ Lies on the Curve $y=\sqrt{x}$ If Is the Point Q

question 58

Multiple Choice

The point $P(4,2)$ lies on the curve $y=\sqrt{x}$ . If is the point Q $(x, \sqrt{x})$ , use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the value $x=3.89 .$

• A) \(-0.128743\)
• B) \(-0.251743\)
• C) \(0.461743\)
• D) \(-0.391743\)
• E) \(0.251743\)

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Definitions:

Higher Price

An elevated cost or valuation of a product or service compared to previous levels.

Market

A place or mechanism where buyers and sellers of goods, services, or resources interact to exchange these commodities at prices determined by supply and demand.

Second-Degree Price Discrimination

A pricing strategy where prices vary according to quantity demanded or consumption levels, rather than across different consumer types.

Inverse Demand Function

A mathematical representation that expresses price as a function of quantity demanded, illustrating the relationship between the two inversely.