In 1973, Braley and Nelson studied the effect of price increases on school lunch participation in the city of Pittsburgh. The Revenue function for the program was given by:
$\displaystyle {R}{\left({q}\right)}=\frac{{-{0.00381}{q}^{{2}}+{62.476}{q}}}{{100}}$
where $\displaystyle {q}$ is the number of lunches bought and $\displaystyle {R}{\left({q}\right)}$ is dollars of revenue (per day).

A) What is the average rate of change for this function between 4000 and 11000 lunches purchased? (Include as many decimal places as is possible.)



Answer:

B) What are the appropriate units for the rate of change?