A small nest of wasps has an exponential growth rate of 13% per month. If the nest currently has 5,000 wasps, the situation can be modeled by the equation w(t)=5,000(1.13)t%0D%0A%0D%0A(%0D%0A%0D%0A)%0D%0A=%0D%0A5%0D%0A,%0D%0A000%0D%0A(%0D%0A1.13%0D%0A)%0D%0A%0D%0A , where w is the number of wasps after time t months. Which of the following statements is true about the equation?
The correct equation for the given situation is:
w(t) = 5,000(1.13)^t
This equation represents the exponential growth of the wasps nest over time. The base of the exponential function is 1.13, which represents a growth rate of 13% per month. The exponent t represents the number of months.
Therefore, the correct statement about the equation is that it models the number of wasps, w, after t months.