Solve the Problem $\mathrm { p } = \mathrm { p } _ { 0 } \mathrm { e } ^ { \mathrm { kq } }$

Essay

Solve the problem.
-A music store manager collected data regarding price and quantity demanded of cassette tapes every week for
10 weeks, and found that the exponential function of best fit to the data was p = 25 ·0.89q. Express the function
of best fit in the form $\mathrm { p } = \mathrm { p } _ { 0 } \mathrm { e } ^ { \mathrm { kq } }$ , and use this expression to predict the quantity demanded if the price is $8.50.