Question

The frog population at a lake doubles every three weeks. The population can be modeled by f(x)=15(2)^x and f(6)=960. What does the 15 represent?

A- The population after six weeks
B- The starting population
C- The rate the population increases
D- The number of weeks that have passed

Answer 1

B) The 15 is a representative of the starting population

Answer 2

Answer: B- The starting population

Step-to-step-explanation:-

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

The given function is a exponential growth function in which the independent variable (x) appears in exponents and with constant multiplicative rate of change .

When we substitute x=0 in the given function, we get

`f(0)=15(2)^0=15*1=15`

Hence, 15 represents the starting population .