Question

The frog population at a lake doubles every week. the population can be modeled by f(x) = 15(2)x and f(6) = 960. what does the 2 represent? the population after six weeks the starting population the rate the population increases the number of weeks that have passed

Answer 1

Answer:

2 represent the rate of change in the population.

f(6)=960 represents the population after 6 weeks.

Step-by-step explanation:

Given : The frog population at a lake doubles every week. the population can be modeled by $f(x) = 15(2)^x$ and f(6) = 960.

To find : What does the 2 represent?

Solution :

We have been given the population model is $f(x) = 15(2)^x$, f(6)=960

Where, x represents number of weeks and f(x) is population of frog after x weeks.

This is an exponential function,$y=ab^x$

Where, 2 represent the rate of change in the population.

Put x=6

$f(6) = 15(2)^6$

$f(6) = 15(64)$

$f(6) = 960$

It means that the population after 6 weeks is 960.

Hence, f(6)=960 represents the population after 6 weeks.