On a Given Day, the Flow Rate F (Cars Per $F = \frac { v } { 17 + 0.04 v ^ { 2 } }$

question 44

Multiple Choice

On a given day, the flow rate F (cars per hour) on a congested roadway is given by $F = \frac { v } { 17 + 0.04 v ^ { 2 } }$ , where $v$ is the speed of the traffic in miles per hour. What speed will maximize the flow rate on the road? Round your answer to the nearest mile per hour.

• A) 18 miles per hour
• B) 16 miles per hour
• C) 17 miles per hour
• D) 10 miles per hour
• E) 21 miles per hour

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