A principal is choosing between two field trips. The first cost $240 plus $40 per student. The second costs $600. For what number of students is the first trip more expensive than the second?

If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.

Step-by-step explanation:

240 + 40x = 600

- 240           -240

40x = 360

40x/40 = 360/40

x = 9 students

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb