Question

Two catering companies have different one-time fixed fees. Company A charges a fixed

fee of $75, and Company B charges a fixed fee of $100. Each company also has a cost
per person.
1 Suppose the independent quantity is the number of people and the dependent
quantity is the cost. The graphs for the two companies never intersect. What does
this tell you about how much each company charges?

Answer 1

Company A charges a lower cost than Company B for any number of people.

Step-by-step explanation:

The fact that the graphs for the two catering companies never intersect indicates that Company A charges a lower cost than Company B for any given number of people.

Let's assume the cost per person for Company A is c1, and the cost per person for Company B is c2. Since the graphs never intersect, for any given number of people, the cost for Company A, represented by the equation 'c1 * number of people + fixed fee of $75', will always be less than the cost for Company B, represented by the equation 'c2 * number of people + fixed fee of $100'.

Therefore, Company A charges a lower cost than Company B for any number of people.