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

Question

Bridget Gardner

Mathematics

9 August, 17:27

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

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Kaliyah Kaufman · Answer 1

The new function that was from a combination of two functions is N = a^t - (mt + b). N is the total number of visitors. The first function is the representation of the number of visitors that increases exponentially through time. Second equation is linear which was derived from y = mx + b.