The question is a principal is choosing between field trips. The final cost is $600. The second costs $240 plus $40 per student. For what number of students is the first trip less expensive. I got the 1st trip would be less expensive with more than 9 students. Is this correct?
x= # of students
600<240+40x is how I set it up
-240 each side
260<40x
9<x
did I do it correctly
Thanks for checking my answer
Looks good.
To determine the number of students for which the first trip is less expensive, you correctly set up the inequality as 600 < 240 + 40x, where x represents the number of students. However, you made a small mistake when solving for x.
To solve the inequality, you need to isolate the variable x. Here's the correct way to solve it:
600 < 240 + 40x
600 - 240 < 40x
360 < 40x
360/40 < x
9 < x
So, the correct answer is that the first trip is less expensive with more than 9 students, not "more than or equal to" 9 students. Therefore, your answer of "the first trip is less expensive with more than 9 students" is correct.
Well done in setting up and solving the inequality!