SOLUTION: 110 students have signed up to play either soccer or basketball. A soccer team consists of 11 players and basketball has 5. The equation can be modeled by 11x+5y=110. where x is th

Question 1173512: 110 students have signed up to play either soccer or basketball. A soccer team consists of 11 players and basketball has 5. The equation can be modeled by 11x+5y=110. where x is the number of soccer teams and y is the number of basketball teams. Write the equation so that the number of basketball y is a function of the number of soccer x. Describe the domain and range of the function. WHat is the x intercept and y intercept?
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

Solve

for

in terms of

. That is, add

to both sides and divide both sides by

The domain of a function is the set of values of the independent variable for which the function is defined, or in this case, for which the function makes sense. Here,

cannot be less than zero because having a negative number of soccer teams would be absurd. Furthermore,

must be an integer because having a fraction of a soccer team is also ludicrous.

must be less than or equal to 22, otherwise, you would have a negative number of basketball teams. And,

must be an integer to avoid having a fractional number of basketball teams.

The upshot is that there are only three numbers in the domain, and therefore only three numbers in the range. Two of these points are the intercepts, and I leave it to you to figure out the exact values.

John

My calculator said it, I believe it, that settles it

From
I > Ø

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