To determine the cost of one ticket represented by [tex]\( x \)[/tex] in the equation [tex]\( 4x + 12 = 48 \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
4x + 12 = 48
\][/tex]
2. Subtract 12 from both sides of the equation to isolate the term containing [tex]\( x \)[/tex]:
[tex]\[
4x + 12 - 12 = 48 - 12
\][/tex]
Simplifying this, we get:
[tex]\[
4x = 36
\][/tex]
3. Next, solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 4:
[tex]\[
\frac{4x}{4} = \frac{36}{4}
\][/tex]
Simplifying this, we find:
[tex]\[
x = 9
\][/tex]
Therefore, the cost of one ticket is [tex]\(\$ 9.00\)[/tex].
The correct answer is:
[tex]\[
\$ 9.00
\][/tex]
