Kylee is managing a small theme park and has been analyzing the attendance data. Kylee has found that the number of visitors increases exponentially as the temperature increases. Kylee has also found a linear equation that models the number of people who leave the park early depending on the temperature. Describe how Kylee can combine these two functions into a new function and explain what that function would predict.

Question

jagr2713 · Answer

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anonymous · Answer

Thanks! Do you think I would have to graph the two lines to get the answer to this question? it's a hypothetical question it just needs an explanation of how.

anonymous · Answer

@jagr2713

anonymous · Answer

If the first function describes the number of visitors at the park depending on the temperature and the second describes how many visitors leave early depending on the temperature, then subtracting the second from the first:
$$
g(x) = f1(x) - f2(x)
$$will give the number of visitors who stay long (do not leave early) depending on the temperature.