Question

select the correct tally sheet
the high school basketball team is involved in a two - game tournament with a cross - town rival. thea plays for the team and scored 22 points in the first game. if she has an average of more than 20 points per game, thea has a chance to win the mvp award.
select the tally sheet showing the lowest possible number of points that thea can score in the next game and still be in the running for mvp.

Explanation:

Step1: Define variables and average condition

Let $x$ = points in the second game. The average of two games must be more than 20:
$$\frac{22 + x}{2} > 20$$

Step2: Solve inequality for minimum $x$

Multiply both sides by 2:
$$22 + x > 40$$
Subtract 22 from both sides:
$$x > 18$$
Since points are whole numbers, the lowest possible $x$ is 19.

Step3: Match 19 to tally marks

Each group of 5 tally marks = 5 points. 19 = 3 groups of 5 (15) + 4 individual marks, which is $\boldsymbol{\text{III}\!\!\text{I}\ \text{III}\!\!\text{I}\ \text{III}\!\!\text{I}\ \text{IIII}}$ (3 sets of 5, plus 4).

Answer:

The correct tally sheet is the one labeled "Points Scored" with three groups of 5 tally marks and 4 additional individual marks (total 19 points).