Solve Problems Using Systems of Nonlinear Equations
-A Person at the Top

question 160

Multiple Choice

Solve Problems Using Systems of Nonlinear Equations
-A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given by the equation $h = - 16 t ^ { 2 } + 600$ where $h$ is measured in feet and $t$ is the number of seconds since the yellow ball was dropped. A second person, in the same building but on a lower floor that is 264 feet from the ground, drops a white ball 3 seconds after the yellow ball was dropped. The height of the white ball is given by the equation $h = - 16 ( t - 3 ) ^ { 2 } + 264$ where $h$ is measured in feet and $t$ is the number of seconds since the yellow ball was dropped. Find the time that the balls are the same distance above the ground and find this distance.

• A) 5 seconds; 200 feet
• B) 4 seconds; 344 feet
• C) \(4.5\) seconds; 276 feet
• D) \(5.5\) seconds; 116 feet

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Definitions:

Supply-Side Market Failures

Overallocations of resources that occur when private supply curves understate the full cost of producing a good or service.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity of that good that consumers are willing and able to purchase at various prices.

Supply Curve

A graphical representation showing the relationship between the price of a good or service and the quantity that suppliers are willing to offer for sale at that price.

Willingness To Pay

The maximum price at which a consumer is prepared to buy a good or service, reflecting the value they place on it.