Biology

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

2 Answer

  • B) The 15 is a representative of the starting population
  • 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 [tex]f(x)=15(2)^x[/tex] and [tex]f(6)=960[/tex]

    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

    [tex]f(0)=15(2)^0=15\times1=15[/tex]

    Hence, 15 represents the starting population .

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