The function below models the population of a town years since 2006. Which statement best describes (9)? p(x)= 8,963(1.03)exponent x

the population of the town in 2006
the population of the town in 2015
the percent change in the population of the town between 2006 and 2015
the rate of change in the population of the town between 2006 and 2015

The population of the town in 2015

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form)  

x= years after 2006

A = population after t years  

Replacing with the values given:  

p(9) = 8,963 (1.03)^9

Since the years passed between 2006 and 2015 are 9 ( x), the equation represents the population of the town in 2015.

Feel free to ask for more if needed or if you did not understand something.  

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."