
The solution of the equations is the coordinates of the point where the two lines intersects, so the required solution is :
All functions have an inverse expression.
- The cost function is:
. - The inverse function is:

From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:

Where: x represents the number of guests, and C(x) represents the cost function
Expand

Evaluate like terms

To calculate the inverse function, we have:

Replace C(x) with y

Swap x and y

Subtract 40000 from both sides

Divide both sides by 100

Rewrite as:

Split


Hence, the inverse function is: 
Read more about functions and inverse at:
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Answer:
56 feet
Step-by-step explanation:
If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.
6(2)
= 12
8(2)
= 16
So, the actual dimensions of his room are 12 feet by 16 feet.
To find the perimeter, use the perimeter formula, P = 2l + 2w.
Plug in the length and width:
P = 2l + 2w
P = 2(12) + 2(16)
P = 24 + 32
P = 56
So, the perimeter of his actual room is 56 feet.
Answer:
Width = 9 yds
Length = 28 yds
Step-by-step explanation:
Width = x
Length = 2x + 10
Area is 252 yd²
x(2x + 10) = 252
2x² + 10x - 252 = 0
2 (x + 14) (x - 9) = 0
(x + 14) (x - 9) = 0
x = - 14 or x = 9
Width = 9 yds
Length = 2x9 + 10 = 28 yds