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

Answer:

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

Step-by-step 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.