The population of a city was 147 thousand in 1992. The exponential growth rate was 1.4 % per year.
a) Find the exponential growth function in terms of t, where t is the number of years since 1992.
P(t) = ?

Step-by-step explanation:

In general an exponential growth rate can be modeled as:

Where m is the final number of "things", m0 is the starting number of "things", r is the growth rate, and n is the number of cycles of growth. Here, P(t) corresponds to m, m0=147000, r = 1.014, and n = t. The exponential growth function is:

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is