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:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
Determining the slope between (-1, -2) and (3, 4)




Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b

switch sides


subtract 9/2 from both sides


now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation



Therefore, the slope-intercept form of the line equation is:
Answer:
Improper Fractions:
Step-by-step explanation:
1. 2 and 2/3
2. 2 and 1/4
3. 2 and 2/5
16 * 3 = 48
and
16 + 3 = 19