Question

In a trivia contest, players form teams and work together to earn as many points as possible for their team. Each team can have between 3 and 5 players. Each player can score up to 10 points in each round of the game. Elena and four of her friends decided to form a team and play a round.Write an expression, an equation, or an inequality for the following description. If you use a variable, specify what it represents.the number of points Elena's team earns if each player misses one point

Answer 1

Let N be the number of players in a team.

As each team can have numbers of players ranging from 3 to 5, so

`3\leq5\ldots\ldots.1`

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

`0\leq P\leq10\ldots\ldots..2`

There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (2), the range is

`0\leq5P\leq50`

Hence, the points earned by Elena's team is ranging from 0 to 50.

Therefore, If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1 = 9

Hence, the number of points earned by Elena's team if each player misses one point will be

`9*5=45`