Answer:
Sully is correct there is no error.
Explanation:
Given : The cost of a hamburger is $2.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs
.
To find : Using this rule, he found the cost of 12 hamburgers to be $29.50 Is this number correct? If not, identify Sully's error
Solution :
The cost of a hamburger is $2.50.
Each additional hamburger cost $2.00.
Sully wrote this explicit rule to explain the sequence of costs:
![f(n)=2+2.5(n- 1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/g37jec9xgk30kbjt5qvjin4hluuy2vj6v8.png)
To find the cost of 12 hamburgers substitute n=12,
![f(12)=2+2.5(12- 1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9fymn0vwh164lw1rzacikuqe1dzvxewy3u.png)
![f(12)=2+2.5(11)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/e3urnxjlcibmd2fltzjjqlzh1x59t4rx1s.png)
![f(12)=2+27.5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jkc89vy4bdxv1f1ev904mtdupunhsxkv0a.png)
![f(12)=29.5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/erdtjdg981swy3jsvm21o6m8va0dyezhzk.png)
The cost of 12 hamburgers to be $29.50.
Therefore, Sully is correct there is no error.