Question

The number of medals won by an Olympic Team is modeled by y = 3x + 5, where x is the

number of athletes. The number of medals for another team is modeled by y = 5x-8,
where x is the number of athletes. For what number of athletes would both teams have
the same number of Olympic medals? Is this a viable answer? Explain.
Show your work

Answer 1

13/2

Explanation:

`$ y $` is the number of medals won. So for the number of medals to be equal in both the case we have to equate
`$ y $` in both the equations.

Thus we would have:

`$ 3x + 5 = 5x - 8 $`

Solving for
`$ x $` we have:
`$ 2x = 13 $`.

`$ \implies x = (13)/(2) $`