Let's break down the given information and find the appropriate equation step by step.
1. Information Given:
- Anderson's hourly rate is [tex]$6 per hour.
- Anderson earns $[/tex]1 more than half of Carey's hourly rate.
2. Define the Variable:
- Let [tex]\( c \)[/tex] be Carey's hourly rate.
3. Formulate the Relationship:
- According to the problem, Anderson's earnings per hour are $1 more than half of Carey's rate.
- Mathematically, we can write this relationship as:
[tex]\[
6 = \frac{1}{2} c + 1
\][/tex]
4. Identify the Correct Equation:
- Looking at the given options, we need the equation that matches our formulated relationship:
[tex]\[
\frac{1}{2} c + 1 = 6
\][/tex]
Therefore, the correct equation to use to solve for Carey’s hourly rate [tex]\( c \)[/tex] is:
[tex]\[
\frac{1}{2} c + 1 = 6
\][/tex]
