Answer:
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry:
If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.
From inspection of the graph:
Therefore:
Use the Directrix equation to find p
⇒ y = (k - p)
⇒ -3 = -1 - p
⇒ p = 2
Therefore the equation of the conic section is:
Rearranging in standard form :
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.
