That is the vertex form of a quadratic equation
5+2x=17 is the inequality.
Let c = # of children who bought a ticket // Let a = # of adults who bought a ticket
Since the theater company charges $8.50 for all age groups, it isn't necessary to have two different variables. The expressions that you could use are:
8.5(a + c)
8.5a + 8.5c
They both equate to the same thing, just two different ways of writing it. I hope this helps!
Answer: x= 0 or x= 1
Step by step:
Step 1: Factor left side of equation.
= 8x (x – 1) = 0
Step 2: Set factors equal to 0.
= 8x = 0 , x = -1 = 0
= x = 0 , x = –1
