Suppose you are organizing a social. Let a be the �fixed cost and b be the cost
per person.Suppose you know it costs $1300 for 30 people and
$2200 for 80 people.
(a) Set up a system of (two) equations in terms of a and b:
a + 30b = 1300
a + 80b = 2200
To set up a system of equations in terms of a and b, we can use the given information to create two equations based on the number of people and the associated cost.
Equation 1: Cost for 30 people
According to the given information, the cost for 30 people is $1300. This can be represented as:
a + 30b = 1300
Equation 2: Cost for 80 people
As per the given information, the cost for 80 people is $2200. This can be represented as:
a + 80b = 2200
So, the system of equations in terms of a and b is:
a + 30b = 1300
a + 80b = 2200