Use a Calculator to Find the Function Value $\mathrm { F }$

question 120

Multiple Choice

Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary.
-The grade resistance $\mathrm { F }$ of a car traveling up or down a hill is modeled by the equation $\mathrm { F } = \mathrm { W } \sin \theta$ , where $W$ is the weight of the car and $\theta$ is the angle of the hill's grade $( \theta > 0$ for uphill travel, $\theta < 0$ for downhill travel) . What is the grade resistance (to the nearest pound) of a $3000 - \mathrm { lb }$ car traveling uphill on a $3 ^ { \circ }$ grade $\left( \theta = 3 ^ { \circ } \right)$ ?

• A) \(- 3003 \mathrm { lb }\)
• B) \(- 157 \mathrm { lb }\)
• C) \(157 \mathrm { lb }\)
• D) \(3003 \mathrm { lb }\)

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Definitions:

Production Function

An equation that describes the maximum output that can be produced with a given set of inputs.

Capital

Financial assets or the financial value of assets, such as funds held in deposit accounts or funds obtained from special financing sources.

Labor

The utilization of human physical and intellectual capacities in the generation of goods and services.

Plausible

Seeming reasonable or probable under the circumstances.