The booster club hires a band for a fund raiser. the club guarantees the band a fee of $1500 plus $4.50 for each ticket sold. there are 1,150 seats in the auditorium.
what is the greatest amount of money the band can earn?
a.
$5,175
c.
$6,675
b.
$6,213
d.
$5,971

$6,675

Step-by-step explanation:

Let

x > the number of tickets sold

y > the amount of money that the band earn

we know that

The linear equation that represent this problem is

y=4.50x+1,500

The greatest amount of money that the band can earn is when the number of tickets sold is equal to the maximum number of seats in the auditorium

so

For x=1,150

substitute

y=4.50(1,150)+1,500=$6,675