Acity’s population, p, is modeled by the function p(x) = 78,500( 1.02 )x where x represents the number of years after the year 2000.

the population of the city in the year 2000 was . the population increases by % each year. enter your answers in the boxes.

I presume this is meant to be exponential.

When f(x) = a(b)^x, a represents the starting value, b represents change, and x represents time.

The population began in 2000 (x = 0). This makes the equation equal to 78,500, which is your starting value and population in 2000.

1.02 means that the initial value is multiplied by 1.02 or 102% each year. Therefore, there is a 2% increase.