CPM Homework Help : CALC Problem 2-116

A local fast-food restaurant records data on the rate customers enter their establishment during a typical lunch hour. Using this data in the table below, predict the total number of customers served during this $30$ -minute period.

Time (min)	$0$	$4$	$9$	$15$	$19$	$26$	$30$
Rate (cust/min)	$12$	$13$	$17$	$23$	$19$	$14$	$6$

Hint 1:

A table gives us only select values of a function. We do not know if it is a continuous function.

Hint 2:

Though the graph of this rate function was not provided, it is still possible to compute the area under the curve.

Hint 3:

Imagine the graph. Now imagine connecting the points with trapezoids or rectangle.

Hint 4:

Notice that the $Δx$ is not consistent, so do not use a shortcut (such as the Trapezoidal rule, or sigma notation).