Question

Use Composition of FunctionsBOX OFFICE A movle theater charges $8.50 for each of the xtickets sold. The manager wants to determine how much the movietheater gets to keep of the ticket sales If they have to glve thestudlos 75% of the money earned on ticket sales t(x). If the amountthey keep of each ticket sale is k(x), which composition representsthe total amount of money the theater gets to keep?

Answer 1

Given: The amout charged per ticket is $8.50

If x tickets are sold

Then the total revenue (amount made) will be =>

`8.5\text{ x }x\text{ = \$8.50x}`

If t(x) represents how much the studio collects

and k(x) represents how much is kept

Given: t(x) = 75% then

k(x)= (100 -75)%= 25 %

So that

The total amount that will be kept will be

25% of $8.50x

=>

`(25)/(100)\text{ x (\$8.50x) }`

`\frac{25\text{ x \$8.50x}}{100}\text{ = }(212.5x)/(100)=\text{ \$2.125x}`

The amount that will be kept will be

= > $2.125x

Where x is the number of tickets