Question

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?

Answer 1

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.