The Density of Cars (In Cars Per Mile)down a 24-Mile $\rho(x)=500+100 \sin (\pi x)$

Short Answer

The density of cars (in cars per mile)down a 24-mile stretch of the Massachusetts Turnpike starting at a toll plaza is given by $\rho(x)=500+100 \sin (\pi x)$ , where x is the distance in miles from the toll plaza and 0 $\le$ x $\le$ 24.Estimate the total number of cars down the 24-mile stretch by creating a Reimann sum, converting it to an integral, and evaluating it.