Answer:
Here is the complete question (attachment).
The function which represent the given points are 
Step-by-step explanation:
We know that a general exponential function is like,
We can find the answer by hit and trial method by plugging the values of
coordinates.
Here we are going to solve this with the above general formula.
So as the points are
then for 
Can be arranged in terms of the general equation.
...equation(1) and
...equation(2)

Plugging the values in equation 2.
We have
![\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bb%7D%20b%5E4%3D128%2C16%5Ctimes%20b%5E3%3D128%2Cb%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%7D%7B16%7D%7D%20%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Plugging
in equation 1.
We have 
Comparing with the general equation of exponential
and 
So the function which depicts the above points =
From theoption we have B as the correct answer.
Answer:
y = 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (1, 8 ) into the partial equation
8 = 3 + c ⇒ c = 8 - 3 = 5
y = 3x + 5 ← equation of line
Answer:
-169
Step-by-step explanation:
We want to isolate v.
Method 1: subtract 40 from both sides, obtaining 169 = -v. Then change the sign of both sides, arriving at v = -169.
Method 2: Add v to both sides. Then v + 209 = 40.
Now subtract 209 from both sides, obtaining -169.
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.