Question

loren is competing in a trivia tournament and has the highest average after 5 rounds, with scores of 214, 231, 242, 223, and 270. in order to maintain this exact average, what must lorens score be in the sixth round. multiple choice 1 point 200 214 223 236 241

Explanation:

Step1: Calculate the sum of the first 5 - round scores

The sum of the scores of the first 5 rounds is $214 + 231+242 + 223+270=1180$.
Let the score in the sixth - round be $x$.
The average of 6 rounds is $\frac{1180 + x}{6}$.
Since we want to maintain the same average as the first 5 - round average, first find the average of the first 5 rounds.
The average of the first 5 rounds is $\frac{214 + 231+242 + 223+270}{5}=\frac{1180}{5}=236$.

Step2: Set up an equation to find the sixth - round score

We set up the equation $\frac{1180 + x}{6}=236$.
Multiply both sides of the equation by 6: $1180+x = 236\times6$.
$236\times6 = 1416$.
Then $x=1416 - 1180$.
$x = 236$.

Answer:

236