Urban travel times: The table on the next page shows the 1960 population N , in thousands, for several cities, together with the average time T , in minutes, spent by residents driving to work. An...

Urban travel times: The table on the next page shows the 1960 population N , in thousands, for several cities, together with the average time T , in minutes, spent by residents driving to work.

An analysis24 of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population.

a. Construct a power model of driving time in minutes as a function of population measured in thousands.

b. Is average driving time in Pittsburgh more or less than would be expected from its population?

c. If you wish to move to a smaller city to reduce your average driving time to work by 25%, how much smaller should the city be?