Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is
.
Step-by-step explanation:
The exponential formula is

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.
The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.
Here the initial year is 2017 and rate is 0.0278


Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.
Difference between 2025 and 2017 is 8 years. Put t=8



Therefore the projected population in 2025 is 476479.
Answer:
height: 125m; distance: 500m
Step-by-step explanation:
x = 250
f(x) = x − 0.002x2
f(x) = 250 − 0.002(250 )2
= 250 − 0.002(62,500)
= 250 − 125
= 125
250 times 2 = 500
Move x to the right side, so we could get y=-3-x.
If you didn't have a calculator, go to https://www.desmos.com/calculator and graph it. The rest is your work.