( a ) The system of equations:
2 r + b = 8.403 r + b = 9.35( b ) Graph is in the attachment.
( c ) Each item costs:
b = $6.50, r = $0.95We can prove it: 2 * 0.95 + 6.50 = 8.40
3* 0.95 + 6.50 = 9.35
For this case we must find the value of the variable "x" of the following expression:

We apply distributive property to the terms within parentheses: 
We subtract 4x on both sides:

We add 2 to both sides:

We divide between 2 on both sides:

Answer:

Answer:
The total cost function of having a party catered is f(p) = 65 + 9.50 p
Step-by-step explanation:
The equipment fee of the caterer = $65
The charge per plate = $9.50
Let, Total number of people invited in the party = p
So, the cost of plates of p people = Number of people x Per plate cost
= p x $9.50
Now, Total Catering Cost = Equipment Fee + Cost of all plates
or, Total cost = $65 + p x $9.50
Hence, the total cost function of having a party catered
is f(p) = 65 + 9.50 p.