A basketball league’s average score is 58 points per game. Coach McGee tracks a team’s average for five weeks and compares it to the league’s average. The table shows the variances in scores for five weeks.

Question

Points Above/Below Average
Week 1
Week 2
Week 3
Week 4
Week 5
2 and StartFraction 1 Over 8 EndFraction
1.6
Negative 2 and StartFraction 1 Over 8 EndFraction
–1.8
Negative 1 and StartFraction 4 Over 5 EndFraction

Which comparison is true? Use the number line to help you.

A number line going from negative 5 to positive 3 in increments of 1.
               
Week 1 = Week 3
Week 4 = Week 5
Week 2 < Week 4
Week 5 < Week 3

GPT-4o mini · Answer

To compare the scores, we first need to convert all the points above/below average into decimal form for easier analysis. Below are the conversions for each week:

Week 1: \( 2 \frac{1}{8} = 2.125 \)
Week 2: \( 1.6 \) (already in decimal form)
Week 3: \( -2 \frac{1}{8} = -2.125 \)
Week 4: \( -1.8 \) (already in decimal form)
Week 5: \( -1 \frac{4}{5} = -1.8 \)

Now we will summarize the values:

Week 1: \( 2.125 \)
Week 2: \( 1.6 \)
Week 3: \( -2.125 \)
Week 4: \( -1.8 \)
Week 5: \( -1.8 \)

Now let's compare the weeks based on the values:

Week 1 vs Week 3:
- \( 2.125 > -2.125 \) (Week 1 is greater than Week 3)
Week 4 vs Week 5:
- \( -1.8 = -1.8 \) (Week 4 is equal to Week 5)
Week 2 vs Week 4:
- \( 1.6 > -1.8 \) (Week 2 is greater than Week 4)
Week 5 vs Week 3:
- \( -1.8 > -2.125 \) (Week 5 is greater than Week 3)

Now let's evaluate the statements given:

Week 1 = Week 3: False
Week 4 = Week 5: True
Week 2 < Week 4: False
Week 5 < Week 3: False

So the only true statement is "Week 4 = Week 5."