The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket
sells for $11. The auditorium can hold at most 100 people. The drama
club must make no less than $770 from ticket sales to cover the show's
costs. If x represents the number of student tickets sold and y
represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.

Student tickets sold 66

Adult tickets sold 34

Step-by-step explanation:

x=6.     y=11

x+y=100. Multiply by -6

6x+11y=770 Then combine terms

5y=170 Divide 5 on both sides

y=34 Then do 100-34

x=66

This is the solution for the club to not earn anything but able to cover the fees.

The inequality form can be written as,

total revenue=66x+34y in this case total revenue=0

thats not a system of equations, that is a solution

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: