Answer:
(a) Equation: ![T_n = 11.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2011.25%20-%201.25n)
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:
![T_n = a + (n - 1)d](https://tex.z-dn.net/?f=T_n%20%3D%20a%20%2B%20%28n%20-%201%29d)
Where
![a = 10](https://tex.z-dn.net/?f=a%20%3D%2010)
![d = -1.25](https://tex.z-dn.net/?f=d%20%3D%20-1.25)
Substitute these values in the formula
![T_n = 10 + (n - 1) * -1.25](https://tex.z-dn.net/?f=T_n%20%3D%2010%20%2B%20%28n%20-%201%29%20%2A%20-1.25)
![T_n = 10 -1.25n +1.25](https://tex.z-dn.net/?f=T_n%20%3D%2010%20-1.25n%20%2B1.25)
Collect Like Terms
![T_n = 10 + 1.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2010%20%2B%201.25%20-%201.25n)
![T_n = 11.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2011.25%20-%201.25n)
Solving for (b): In this case, n - 3
Substitute 3 for n in ![T_n = 11.25 - 1.25n](https://tex.z-dn.net/?f=T_n%20%3D%2011.25%20-%201.25n)
![T_3 = 11.25 - 1.25 * 3](https://tex.z-dn.net/?f=T_3%20%3D%2011.25%20-%201.25%20%2A%203)
![T_3 = 11.25 - 3.75](https://tex.z-dn.net/?f=T_3%20%3D%2011.25%20-%203.75)
![T_3 = 7.5](https://tex.z-dn.net/?f=T_3%20%3D%207.5)
<em>7.5 gallon of gas left</em>
It is E because I did the test and it was easy so txt me if you need help
The answer is a facilitator.
A facilitator is a person who facilitates discussions. He/she plays a neutral in any discussion. The facilitator guides the group to attain their objective. He/She can use different tools to help the group achieve their goals.
I am pretty sure your answer will be 96783564.8, but it may need to be rounded. If I am wrong, I am sorry.
Hope this helps~!