For each hour he babysits, Anderson earns \[tex]$1 more than half of Carey's hourly rate. Anderson earns \$[/tex]6 per hour. Which equation can be used to solve for Carey's hourly rate, [tex]\( c \)[/tex]?

A. [tex]\(\frac{1}{2}c + 1 = 6\)[/tex]
B. [tex]\(\frac{1}{2}c - 1 = 6\)[/tex]
C. [tex]\(\frac{1}{2}c + 6 = 1\)[/tex]
D. [tex]\(\frac{1}{2}c - 6 = 1\)[/tex]



Answer :

Let's break down the problem step-by-step:

1. We know Anderson earns [tex]$6 per hour. 2. According to the problem, Anderson earns $[/tex]1 more than half of Carey's hourly rate. We need to express this relationship in the form of an equation.

3. Let [tex]\( c \)[/tex] represent Carey's hourly rate.

4. Half of Carey's hourly rate would be [tex]\(\frac{1}{2}c\)[/tex].

5. According to the problem, Anderson's hourly rate is [tex]\(1\)[/tex] dollar more than half of Carey's hourly rate. Mathematically, we can express Anderson's earnings as:
[tex]\[ \frac{1}{2}c + 1 \][/tex]

6. Since Anderson earns $6, we can set up the equation as follows:
[tex]\[ \frac{1}{2}c + 1 = 6 \][/tex]

7. The equation that corresponds to this relationship is:
[tex]\[ \frac{1}{2}c + 1 = 6 \][/tex]

Therefore, the correct equation to solve for Carey's hourly rate [tex]\( c \)[/tex] is:
[tex]\[ \boxed{\frac{1}{2}c + 1 = 6} \][/tex]