Question

A school is planning a field trip. Company A charges a flat fee of $100 plus $8 per student. Company B charges a flat fee of $40 plus $12 per student. The costs can be represented by the equations y=8x+100 (Company A) and y=12x+40 (Company B), where x is the number of students and y is the total cost in dollars. The graphs of these equations intersect at the point (15,220). What does this point of intersection represent?

A.
Company A is always cheaper than Company B

B.
When there are 220 students, both companies charge $15

C.
When there are 15 students, Company A costs $220 and Company B costs less

D.
When there are 15 students, both companies charge exactly $220

Answer 1

D. The intersection means that when there are 15 students (x = 15), both companies charge the same total cost, $220 (y = 220).