what is the total money collected, t, varies directly with the number of student tickets sold. Write the equation of direct variation if the school collected $1107 for 246 student tickets at the basketball game?

Question

what is the total money collected, t, varies directly with the number of student tickets sold.  Write the equation of direct variation if the school collected $1107 for 246 student tickets at the basketball game?

anonymous · Answer

since t is directly proportional to the number of students
t = k x no. of students
k = 1107/246 = 9/2

t = 9/2 x no. of students

anonymous · Answer

so t= 20.25?

anonymous · Answer

noo... t and no. of students is given...
what matters is k because it shows the ratio of t to no. of students

anonymous · Answer

well you just said divide the 1107 by the number of students and that gives you 4.5, then you said mult. 9/2 by the number of students?

anonymous · Answer

so the equation is t=(9/2)x 246?

anonymous · Answer

mmm think of it this way
in line equation y = mx +c
we find out the m and c and substitue the numbers, yet we leave y and x as it is
for coordinates.

anonymous · Answer

its 
t = 4.5 x no. of students

anonymous · Answer

oh so i had the 4.5 part right?

anonymous · Answer

yup

anonymous · Answer

hahah okay thanks!

anonymous · Answer

sure ^^