Solve Problems Using Systems in Three Variables
-You Throw a Ball

question 138

Multiple Choice

Solve Problems Using Systems in Three Variables
-You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds. Consider the following data: $$\begin{array} { c | c } \begin{array} { c } x , \text { seconds after } \\\text { ball is thrown }\end{array} & \begin{array} { l } y , \text { ball's height, in feet, } \\\text { above the ground }\end{array} \\\hline 1 & 84 \\2 & 116 \\4 & 84\end{array}$$ Find the quadratic function $y = a x ^ { 2 } + b x + c$ whose graph passes through the given points.

• A) \(y = - 16 x ^ { 2 } + 80 x + 20\)
• B) \(y = - 12 x ^ { 2 } + 80 x + 16\)
• C) \(y = - 16 x ^ { 2 } + 100 x + 0\)
• D) \(y = - 10 x ^ { 2 } + 60 x + 34\)

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Oral Contract

An agreement between parties that is spoken rather than written but is still legally binding.

Quasi Contract

An obligation imposed by law to prevent unjust enrichment, even though no formal contract exists between the parties.

Remedies

The means by which a right is enforced or the violation of a right is prevented, redressed, or compensated.

Sale of Goods

A transactional agreement between a seller and a buyer for the exchange of personal property for a certain price.