Problem Analysis:
The task involves analyzing a line graph based on the data provided in the table. The data shows the time (in minutes) Ken and Rey spent playing basketball over 6 days. We need to answer five questions based on this data.
#### Given Data:
| Day | Time (minutes) |
|-----|----------------|
| Day 1 | 40 |
| Day 2 | 65 |
| Day 3 | 75 |
| Day 4 | 25 |
| Day 5 | 50 |
| Day 6 | 30 |
Solution:
####
1. Which day did they spend the most time playing basketball?
- From the table, we can see that the maximum time spent is
75 minutes.
- This occurred on
Day 3.
-
Answer: Day 3
####
2. From Day 4 to Day 5, did the amount of time increase or decrease?
- On Day 4, the time spent was
25 minutes.
- On Day 5, the time spent was
50 minutes.
- Since 50 > 25, the time increased from Day 4 to Day 5.
-
Answer: Increase
####
3. How many more minutes did they spend on Day 1 and Day 2 than Day 5 and Day 6?
- Time spent on Day 1:
40 minutes
- Time spent on Day 2:
65 minutes
- Total for Day 1 and Day 2: \( 40 + 65 = 105 \) minutes
- Time spent on Day 5:
50 minutes
- Time spent on Day 6:
30 minutes
- Total for Day 5 and Day 6: \( 50 + 30 = 80 \) minutes
- Difference: \( 105 - 80 = 25 \) minutes
-
Answer: 25 minutes
####
4. How many days did they play at least 40 minutes?
- We need to count the days where the time spent is
40 minutes or more.
- Days with at least 40 minutes:
- Day 1: 40 minutes
- Day 2: 65 minutes
- Day 3: 75 minutes
- Day 5: 50 minutes
- Total number of such days:
4
-
Answer: 4 days
####
5. What is the least time spent playing on a day?
- From the table, the minimum time spent is
25 minutes.
- This occurred on
Day 4.
-
Answer: 25 minutes
Final Answers:
1.
Day 3
2.
Increase
3.
25 minutes
4.
4 days
5.
25 minutes
$$
\boxed{1. \text{Day 3}, 2. \text{Increase}, 3. 25, 4. 4, 5. 25}
$$
Parent Tip: Review the logic above to help your child master the concept of line graphs 5th grade math worksheet.
