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

B.
Company A is always cheaper than Company B

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

Explanation: Plug x = 15 into both equations: 8(15)+100 = 220 and 12(15)+40 = 220, so the total cost is $220 for both companies.