a To begin, we can assume that to beat our competitor our score must be greater than theirs. Adding our opponent's two scores, we can find their overall score.
117.1+119.8=236.9To win, our score must be greater than 236.9. Let s be our second score. Our total score can be determined by adding s to our first score of 119.5.
119.5+s
This sum must be greater than 236.9 in order for us to win. This can be expressed with an inequality.
119.5+s>236.9
Solving this inequality will tell us the score necessary for us to beat our opponent.
Therefore, our second score must be greater than 117.4 for us to win.
b We found that our second score must be greater than 117.4 for us to win. This means any value greater than 117.4 will allow us to win. We could score 117.5 and we would win. We could also score 118.4 and win. Therefore, both our coach and our teammate are correct.
