In a classroom of 31 students, 3 students say their favorite sport is football, 2
students say their favorite sport is lacrosse, 3 students say their favorite
sport is swimming, and 23 students say their favorite sport is soccer.
a) What are the odds that a student’s favorite sport is soccer?
b) What are the odds against a student’s favorite sport is soccer?
c) What are the odds against a student’s favorite sport is swimming?
d) What are the odds that a student’s favorite sport is lacrosse?

a) The probability is 23/31. There are 31 total students, and 23 like soccer the best.

b) The probability is 8/31. There are 31 total students, and 31-23 = 8 don't like soccer the best.

c) The probability is 28/31. There are 31 total students, and 31-3 = 28 don't like swimming the best.

d) The probability is 2/31. There are 31 total students, and 2 like lacrosse the best.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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