SOLUTION: In 1999, boys' soccer had 142 members and has increased 12 students per year since 1990. Girls' soccer had 120 members and has increased 8 students per year since 1990. Football ha

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Question 111315This question is from textbook
: In 1999, boys' soccer had 142 members and has increased 12 students per year since 1990. Girls' soccer had 120 members and has increased 8 students per year since 1990. Football has 92 members and has decreased by 3 students per year since 1990

1. Write a linear equation for each sport that models the number of students y in terms of x, the number of years since 1990



2. Graph each equation in the same coordinate plane, labeling each line.



3. Estimate the number of students in each sport in 2001



4. In the year 2001 the budget is $250,000. Estimate how much funding each sport would recieve in 2001
This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There is a 10 year span between 1990 and 1999.
For boy's soccer, The members in 1990 were 142+-+10%2A12+=+22
For girls soccer, the members in 1990 were 120+-+10%2A8+=+40
For football, the members in 1990 were 92+%2B+10%2A3+=+122
The linear equations have the form y = mx + b}}}. m is the slope
and b is the 1990 membership (x=0, since I'm saying 0 is 1990)
y+=+%28%28142+-+22%29%2F10%29x+%2B+22
y+=+12x+%2B+22 for boy's soccer
y+=+%28%28120+-+40%29%2F10%29x+%2B+40
y+=+8x+%2B+40 for girl's soccer
y+=+%28%2892+-+122%29%2F10%29x+%2B+122
y+=+-3x+%2B+122 for football
+graph%28+600%2C+600%2C+-10%2C+20%2C+-10%2C+150%2C12x%2B22%2C8x%2B40%2C-3x%2B122%29+
For 2001
y+=+12x+%2B+22
y+=+12%2A12+%2B+22
y+=+166 students in boys soccer
y+=+8x+%2B+40
y+=+8%2A12+%2B+40
y+=+136 in girls soccer
y+=+-3x+%2B+122
y+=+-3%2A12+%2B+122
y+=+86in football
166+%2B+136+%2B+86+=+388
166%2F388+=+.428
136%2F388+=+.351
86%2F388+=+.222
Boys soccer gets 43%, girls soccer gets 35%, and football gets 22%