Amoose population is growing exponentially following the pattern in the table shown below. assuming that the pattern continues, what will be the population of moose after 12 years? show all your work! round your answer to the nearest whole number. (5 points)
time (year) population
0 40
1 62
2 96
3 149
4 231

The population of moose after 12 years will be 7,692

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

where

y ----> population of moose

x ----> the time in years

a is the y-intercept or initial value

b is the base of the exponential function

we have

----> the y-intercept is given in the table (value of y when the value of x is equal to zero)

substitute

Find the value of b

For x=1, y=62

substitute in the equation

therefore

What will be the population of moose after 12 years?

For x=12 years

substitute in the exponential equation

answer:

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d