Question

During the 60 minutes prior to the start of a football game, the number of ticket holders or employees inside a stadium can be modeled by a pair of functions with m representing the number of minutes before the start of the game.

The number of ticket holders in the stadium is modeled by the function H, and the number of employees inside the stadium is modeled by the function E.
h(m) = 300√(-360m+21600)+10000
e(m) = 10√(-2m+120)+600
Which function T represents the total number of ticket holders and employees inside the stadium m minutes before kickoff?

Answer 1

To find the function T that represents the total number of ticket holders and employees inside the stadium m minutes before kickoff, we need to add the values of H(m) and E(m) together.

T(m) = H(m) + E(m)

Substituting the given functions:

T(m) = (300√(-360m+21600)+10000) + (10√(-2m+120)+600)

Simplifying further:

T(m) = 300√(-360m+21600) + 10√(-2m+120) + 10600

Therefore, the function T represents the total number of ticket holders and employees inside the stadium m minutes before kickoff as:

T(m) = 300√(-360m+21600) + 10√(-2m+120) + 10600