Answer:
6 miles plus the $2 fixed charge
Step-by-step explanation:
You skip count by 3s until you get to $20 or close to $20
3,150 doesn't need to be simplified. so, i guess if it were to be simplified, it would just stay the same.
5+x
Don't you have any other information?
Answer:
![g(n) = 6n -25](https://tex.z-dn.net/?f=g%28n%29%20%3D%20%206n%20-25)
Step-by-step explanation:
Given:
![g(1) = -19](https://tex.z-dn.net/?f=g%281%29%20%3D%20-19)
![g(n) = g(n - 1) + 6](https://tex.z-dn.net/?f=g%28n%29%20%3D%20g%28n%20-%201%29%20%2B%206)
Required
The explicit formula
Let n = 2; So, we have:
![g(n) = g(n - 1) + 6](https://tex.z-dn.net/?f=g%28n%29%20%3D%20g%28n%20-%201%29%20%2B%206)
![g(2) = g(2 - 1) + 6](https://tex.z-dn.net/?f=g%282%29%20%3D%20g%282%20-%201%29%20%2B%206)
![g(2) = g(1) + 6](https://tex.z-dn.net/?f=g%282%29%20%3D%20g%281%29%20%2B%206)
![g(2) = -19 + 6](https://tex.z-dn.net/?f=g%282%29%20%3D%20-19%20%2B%206)
![g(2) = -13](https://tex.z-dn.net/?f=g%282%29%20%3D%20-13)
So, we have:
----- First term
![g(2) = -13](https://tex.z-dn.net/?f=g%282%29%20%3D%20-13)
Calculate common difference (d)
![d = g(2) - g(1)](https://tex.z-dn.net/?f=d%20%3D%20g%282%29%20-%20g%281%29)
![d = -13 --19](https://tex.z-dn.net/?f=d%20%3D%20-13%20--19)
![d = 6](https://tex.z-dn.net/?f=d%20%3D%206)
The explicit function is then calculated as:
![g(n) = a + (n - 1)d](https://tex.z-dn.net/?f=g%28n%29%20%3D%20a%20%2B%20%28n%20-%201%29d)
Where
--- First term
So:
![g(n) = a + (n - 1)d](https://tex.z-dn.net/?f=g%28n%29%20%3D%20a%20%2B%20%28n%20-%201%29d)
![g(n) = -19 + (n - 1)*6](https://tex.z-dn.net/?f=g%28n%29%20%3D%20-19%20%2B%20%28n%20-%201%29%2A6)
Open bracket
![g(n) = -19 + 6n - 6](https://tex.z-dn.net/?f=g%28n%29%20%3D%20-19%20%2B%206n%20-%206)
Collect like terms
![g(n) = 6n - 6-19](https://tex.z-dn.net/?f=g%28n%29%20%3D%20%206n%20-%206-19)
![g(n) = 6n -25](https://tex.z-dn.net/?f=g%28n%29%20%3D%20%206n%20-25)