Question

Cities lay cables (plastic-coated sensors) in roadways to gather data on traffic volume and speeds, causing a thump-thump sound. Based on thump-thump data, you have concluded that at a volume (V) of 800 vehicles per hour, the traffic speed (S) is 40 miles per hour. Using this data, what is the estimated speed (S) at a traffic volume (V) of 1000 vehicles per hour?

A) 45 miles per hour

B) 38 miles per hour

C) 50 miles per hour

D) 42 miles per hour

Answer 1

To estimate the speed at a traffic volume of 1000 vehicles per hour, you can use a proportion based on the given information. The estimated speed is 50 miles per hour.

Step-by-step explanation:

To estimate the speed (S) at a traffic volume (V) of 1000 vehicles per hour, we can use the information given in the question. We know that at a volume (V) of 800 vehicles per hour, the traffic speed (S) is 40 miles per hour. Therefore, we can set up a proportion to find the estimated speed (S) at a volume (V) of 1000 vehicles per hour:

{{40 miles}/{800 vehicles}} = {{S miles}/{1000 vehicles}}

Cross-multiplying gives us:

40 * 1000 = 800 * S

Simplifying the equation:

S = (40 * 1000) / 800 = 50 miles per hour

Therefore, the estimated speed (S) at a traffic volume (V) of 1000 vehicles per hour is 50 miles per hour.