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Readme [11.4K]
3 years ago
9

A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tic

kets, the drama department raises a total of $1,920 in ticket sales. Let x represent the number of adult tickets sold and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?
Mathematics
1 answer:
Butoxors [25]3 years ago
8 0

Answer:

Adults = x

Students = y = x + 40. 40 more student than adult

Adult = $8, Student = $6

Total for Adults = 8*x = 8x

Total for students = 6*y = 6y

Total = $1920

8x + 6y = 1920

Hence system of equations are:

y = x + 40

8x + 6y = 1920

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The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be: y=20x-38700

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In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.

If x represents the year and y represents the number of students, then two points in form of (x,y) will be: (1995, 1200) and (2010, 1500)

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y-1200=20(x-1995)\\ \\ y-1200=20x-39900\\ \\ y= 20x-39900+1200\\ \\ y= 20x-38700



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