Question

A band is performing at an auditorium for a fee of $1500. In addition to this fee, the band receives 30% of

Answer 1

Answer:

A. $R=1,500+6x,\ x\le 800$

B. 584

Step-by-step explanation:

A band is performing at an auditorium for a fee of $1500.

In addition to this fee, the band receives 30% of each $20 ticket sold. Let x be the number of tickets sold, then these x tickets cost $20x. Calculate 30% of 20x:

$20x\cdot 0.3=6x$

A. The total cost is

$R=1,500+6x$

The maximum capacity of the auditorium is 800 people, so x≤800.

B. The band needs $5,000 for new equipment so

$1,500x+6x\ge 5,000\\ \\6x\ge 3,500\\ \\x\ge \dfrac{3500}{6}\\ \\x\ge 583.333...$

So, it is enough 584 tickets to be sold.