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Player Productions theatre finds that their ticket sales for Friday night performances (number of tickets sold) is given by the function h , where h ( t ) measures the number of tickets sold, and where t is the play length (measured in hours). Regal Theatre found that their ticket sales for Friday nights performances can be modeled by the function, g , where g (t)= 1.6h(t + 0.25).

Required:
How do the ticket sales for Friday night perfomances at Player Productions compare to the ticket sales for a Friday night perfomance at Regal Theatre?

1 Answer

6 votes

Answer:

Regal Theatre makes 1.6 times more than Player Productions when they have 0.25 hours longer productions

Explanation:

Given


h(t) \to player production theatre


g(t) \to regal theatre

Where:


g(t) = 1.6h(t + 0.25)

Required

Compare both functions

We start from the bracket


t + 0.25

The + in
t + 0.25 means longer hours of production

So:


t + 0.25 means 0.25 hours longer that player productions


g(t) = 1.6h(t + 0.25) can be rewritten as:


g(t) = 1.6 * h(t + 0.25)

The above means 1.6 times player production when they have 0.25 longer hours.

User Dean Goodman
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