The cost for a party here is the base fee,
plus charges for any additional guests.
So we know for a 15-person party, the price is going to be $100. That's a flat (constant) cost.
We know that for each additional person, we add $12. So for
![x](https://tex.z-dn.net/?f=x)
more people, the cost is $
![12x](https://tex.z-dn.net/?f=12x)
.
Since 100 is constant here, we make that our y-intercept. Even with no additional guests, the cost is still $100.
We add to write
![y=12x+100](https://tex.z-dn.net/?f=y%3D12x%2B100)
. 12 is the constant rate of change (slope).
(21.2)*(0.02) = 0.424
Hope this helps.
is the answer.
Step-by-step explanation:
For this question,
•<u> </u><u>First</u>, find the slope of the line parallel to the line 5/8x−7/6y=2 :-
![m = - \frac{28}{ - 15 + 48x}](https://tex.z-dn.net/?f=m%20%3D%20%20-%20%5Cfrac%7B28%7D%7B%20-%2015%20%2B%2048x%7D%20)
•<u>Second</u>, find the equation of the line,
![y = - \frac{28}{48x - 15} - \frac{125}{321}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B28%7D%7B48x%20-%2015%7D%20-%20%20%5Cfrac%7B125%7D%7B321%7D%20)