8. Compare linear growth to exponential growth: Town A grows by 100 people per year. In 2005 it had a population of 2,000 people. Town B grows at the rate of 6% a year. In 2005 it had a population of 2,000 people. a. which town had more people in 2006?
b. which town had more people in 2009?
c. how many more people did this town have in 2010?

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.