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]
