The population of a town with a 20162016 population of 87 comma 00087,000 grows at a rate of 1.91.9% per year. a. find the rate constant k and use it to devise an exponential growth function that fits the given data. b. in what year will the population reach 145 comma 000145,000?

Given,

The initial population, P = 87,000,

Annual rate of increasing, r = 1.9 %,

a) Thus, the population after t years,

Where, k is the rate constant,

By comparing,

Hence, the approximate value of k is 0.00817.

And, the exponential growth function would be,

b) If A = 145,000,

By using graphing calculator,

We get,

The year after 27 years from 2016 is 2043.

Hence, in 2043 the population reach 145,000.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

a and c

step-by-step explanation: