The cost of performance tickets and beverages for a family of four can be modeled using the equation [tex]4x + 12 = 48[/tex], where [tex]x[/tex] represents the cost of a ticket. How much is one ticket?

A. \[tex]$3.00
B. \$[/tex]4.00
C. \[tex]$9.00
D. \$[/tex]15.00



Answer :

To determine how much one ticket costs, we need to solve the equation given as [tex]\( 4x + 12 = 48 \)[/tex]. Here, [tex]\( x \)[/tex] represents the cost of one ticket.

1. Start by isolating the term with [tex]\( x \)[/tex]:
[tex]\[ 4x + 12 = 48 \][/tex]

2. Subtract 12 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 4x + 12 - 12 = 48 - 12 \][/tex]
This simplifies to:
[tex]\[ 4x = 36 \][/tex]

3. Divide both sides of the equation by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{36}{4} \][/tex]
Simplifying the division gives:
[tex]\[ x = 9 \][/tex]

Therefore, the cost of one ticket is [tex]\( \$9.00 \)[/tex].

The correct answer is:
[tex]\[ \$ 9.00 \][/tex]