Answer:
$112
Step-by-step explanation:
Brad puts an equal amount of money in his savings account once a month. He started with $27.
The next month, he had $44 in his account. The difference between these amounts are $17.
Two months after that, he had $78 in his account. The difference between these amounts are $34.
This can be observed that, each month the amount gets increases by a multiple of 17. So the function that can represent this scenario is,
[tex]f(n+1)=27+17n[/tex]
where,
[tex]f(n+1)[/tex] is the amount of money in the account and n is the month.
Putting [tex]n=5[/tex], we get
[tex]\Rightarrow f(5+1)=27+17(5)[/tex]
[tex]\Rightarrow f(6)=27+85=\$112[/tex]
