Answer:
Carey's hourly rate to babysit is $10.
Explanation:
Given is -
For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate.
Let Carey's hourly rate to babysit be represented by 'c'
So, Anderson's hourly rate will be =
![(c)/(2)+1](https://img.qammunity.org/2020/formulas/mathematics/college/x2jalhb8ytb6wh523w82qyo1wz2q218e19.png)
Also given that Anderson earns $6 per hour.
So, equaling both, we get;
![6=(c)/(2)+1](https://img.qammunity.org/2020/formulas/mathematics/college/j6kul7voqe532i0g54ochla116wcaqxs2t.png)
![6=(c+2)/(2)](https://img.qammunity.org/2020/formulas/mathematics/college/78xr91guhtnu18tfa4hf2khtmtvpywdxdk.png)
![c+2=12](https://img.qammunity.org/2020/formulas/mathematics/college/q0msho60ky48xytg0h26jwitdo1zxb9xco.png)
![c=10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c50l263j9vpclpj08uh8onu88qrf39almm.png)
Hence, Carey's hourly rate to babysit is $10.