Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is
.
Step-by-step explanation:
The exponential formula is
![y=b(1+r)^t](https://tex.z-dn.net/?f=y%3Db%281%2Br%29%5Et)
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
![y=382627(1+0.0278)^t](https://tex.z-dn.net/?f=y%3D382627%281%2B0.0278%29%5Et)
![y=382627(1.0278)^t](https://tex.z-dn.net/?f=y%3D382627%281.0278%29%5Et)
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
![y=382627(1.0278)^8](https://tex.z-dn.net/?f=y%3D382627%281.0278%29%5E8)
![y=382627(1.0278)^8](https://tex.z-dn.net/?f=y%3D382627%281.0278%29%5E8)
![y=476479.828188\approx 476479](https://tex.z-dn.net/?f=y%3D476479.828188%5Capprox%20476479)
Therefore the projected population in 2025 is 476479.
Y = 1/2 x
for x = 0 → y = 1/2 · 0 = 0
for x = 2 → y = 1/2 · 2 = 1
x | 0 | 2 |
y=1/2x| 0 | 1 |
y = x + 3
for x = 0 → y = 0 + 3 = 3
for x = -3 → y = -3 + 3 = 0
x | 0 | 3 |
y=x+3|-3 | 0 |
2719/462 x 16.5 = 97.10714gallons which is approximately 97 gallons.
Answer:
A)-1
Step-by-step explanation:
3x-5≥4x-3
3x-4x≥-3+5
-x≥2
x≤-2
(-infinity,-2]
-1 x
-2,-3,-5 ✓