Answer:
a. Angel has a greater flat fee
b. Difference = $130
Step-by-step explanation:
Given
Rose:
Angel
Guests --- Charges
10 -------- $180
15 -------- $255
25 -------- $405
30 -------- $480
Solving (a): Who charges the greater flat fee?
We have that the flat fee of Rose is:
For Angel, we need to determine the equation of the given table
Start by calculating the slope (m) of the table
Where x and y represent any two corresponding values of the guests and the charges.
So: becomes
Next, we calculate the equation using:
Where
Add 180 to both sides
From the equation above:
The slope = 15 --- This represents the hourly rate
and
y intercept = 30 --- This represents the flat fee
This is better represented as:
Angel
and
Rose:
<em>By comparison, Angel has a greater flat fee</em>
<em></em>
Solving (b): Difference between total charges of 50 guests for both caterers.
For angel, the equation is:
and x = 50.
So:
For Rose,
First, we need to determine the equation.
The equation is:
So, the total charges for 50 guests is:
The difference is then calculates as: