A. Â ![f(n) =0.2n+4.8](/tpl/images/0902/1913/735ea.png)
B. The y intercept is 4.8
Step-by-step explanation:
Given
![a_n= 5 + 0.2(n-1)](/tpl/images/0902/1913/3c7f8.png)
Solving (a): Write as a function.
To do this, we simply substitute f(n) for ![a_n](/tpl/images/0902/1913/3e3be.png)
becomes
![f(n)= 5 + 0.2(n-1)](/tpl/images/0902/1913/5e295.png)
Open Bracket
![f(n) = 5 + 0.2n-0.2](/tpl/images/0902/1913/491ae.png)
Collect Like Terms
![f(n) =0.2n-0.2 + 5](/tpl/images/0902/1913/f472a.png)
![f(n) =0.2n+4.8](/tpl/images/0902/1913/735ea.png)
B. The y intercept.
To get the y intercept, we set n to 0
i.e
![f(0) =0.2 * 0+4.8](/tpl/images/0902/1913/3dc56.png)
![f(0) =0+4.8](/tpl/images/0902/1913/e03a8.png)
![f(0) =4.8](/tpl/images/0902/1913/4be47.png)
Hence, the y intercept is 4.8