Answer:
y = 4
Step-by-step explanation:
The form of the exponential function is y = a 
Use the given points to solve for a and b
Using (0, 4 ), then
4 = a
( = 1 ), thus a = 4
y = 4
Using (2, 196 ), then
196 = 4b² ( divide both sides by 4 )
49 = b² ( take the square root of both sides )
b = 
= 7
y = 4 ← exponential function
We know that the population is declining at a rate of 14% per year.
The expression is:
N ( x ) = 206 * ( 0.86 ) ^ x
where x stays for years.
If we want to find the rate at which the population is declining per month we have to find:
![\sqrt[12]{0.86} = 0.9875](https://tex.z-dn.net/?f=%20%5Csqrt%5B12%5D%7B0.86%7D%20%3D%200.9875%20%20)
And 0.9875 ≈ 0.99
There are 12 months in a year so the exponent is: x/12
Answer:
b. ( .99 ) ^ x/12
The initial investment was 3.03 because this is the value that does not change and comes before the value with the exponent "2x" is mentioned.
(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3
y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b
so ur equation is : y = 3x - 4
