MATH SOLVE

3 months ago

Q:
# The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 972 represent

Accepted Solution

A:

Answer:972 is the population of rabbits in the year Β 5Step-by-step explanation:[tex]f(x) = 4(3)^x[/tex] is an increasing exponential function of base 3. The fact that its base is 3 means that the function triples when x increases one unit.It is said that the population triples every year. Therefore x represents the number of years elapsed and f(x) represents the number of rabbits in year xIf f(x) represents the population of rabbits for the year x, then, f(5) represents the population of rabbits for x = 5, that is to say, after having passed 5 years.So, 972 is the population of rabbits in the year x = 5