The Equation Below Is in the Form $h = a t ^ { 2 } + b t + c$

question 6

Multiple Choice

The equation below is in the form $h = a t ^ { 2 } + b t + c$ The input is the time t, in seconds. The output is the height h of an object tossed straight up from a height c, in feet, with an initial velocity b, in feet per second. $- 16 t ^ { 2 } + 20 t + 80 = - 20$ Solve the equation for t, using the quadratic formula. Round to the nearest hundredth. Which answers are acceptable in the setting?

• A) \(t = 1.78 \mathrm { sec } , \text { discard } t = - 3.20\)
• B) \(t = 1.85 \mathrm { sec } , \text { discard } t = - 1.78\)
• C) \(t = 3.20 \mathrm { sec } , \text { discard } t = - 1.95\)
• D) \(t = 3.20 \mathrm { sec } , \text { discard } t = - 1.78\)
• E) no real-number solution

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Definitions:

Efficient Use

The optimization of resource utilization to achieve maximum output or benefits with minimal waste or expense.

Nation's Production Possibilities Frontier

The production possibilities frontier represents the maximum combination of goods and services that can be produced by a nation given its resources and technology, illustrating the trade-offs in production choices.

Real Wage

The wage measured in dollars of constant purchasing power; the wage measured in terms of the quantity of goods and services it buys.

Opportunity Cost

When one option is chosen, it's the sacrifice of possible benefits from other available choices.