The population of the United States by decade:
1960: 179,323,175 people 1970: 203,392,031 people 1980: 226,545,805 people 1990: 248,709,873 people 2000: 281,421,906 people 2010: 308,745,538 people
1. Develop an equation modeling the United States’ population change from 1960 to 2010. You may need to determine the curve of best fit in order to model this appropriately.
2. Develop an equation modeling the United States’ population change from 2000 to 2010. 3. Use both models to predict what the current population of the United States is.

m∠a is 90°

m∠b is 40°

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

step-by-step explanation: