Answer:
Yes
IT WILL TAKE 8 YEARS.
Step-by-step explanation:
Bear starting population = 100
Bear population rate = 4 per year
Snake starting population = 1
Snake population rate = doubles every year
Bear population model:
y = 4x+100
Where y = new bear population
x = number of years after year 2000
Snake population model :
y = 2^x
Where y = new snake population
x = number of years after year 2000
THE POPULATION OF SNAKES WILL CATCH UP WITH THAT OF BEARS BECAUSE AFTER 7 YEARS THE POPULATION WILL BE EVEN.
After 7 years :
Bear population :
y = 4x + 100
y = 4(7) + 100 = 128
y = 128
Snake population :
y = 2^x
y = 2^7
y = 128
Using random guess in the both models :
After 8 years :
Bear population :
y = 4x + 100
y = 4(8) + 100 = 132
y = 132
Snake population :
y = 2^x
y = 2^8
y = 256
