PROBLEMS ON MULTIPLE LINE GRAPHS

Problem 1 :

This multiple-line graph illustrates the number of novel pages read each day for one week by two language arts students, Alyssa and Greg.

Directions: Use the information on page 13 and this graph to answer the following questions

1. How many pages did Greg read on Sunday?

2. How many pages did Alyssa read on Sunday?

3. How many pages did Greg read on Friday?

4. How many pages did Alyssa read on Friday?

5. On which day did Greg read the fewest pages?

6. On which day did Alyssa read the fewest pages?

7. Which student read the most pages during the week?

8. How many more pages did Alyssa read than Greg on Monday?

9. On which three days did Alyssa read exactly five pages more than Greg?

10. How many total pages did Alyssa read? 

11. How many total pages did Greg read?

12. Which student was more consistent in doing the assigned reading?

Solution :

1. 30

2. 50

3. 65

4. 70

5. On Wednesday Greg read the fewest pages.

6. On Monday Alyssa read the fewest pages.

7.

Alyssa read more pages during the week.

8.

= 410 - 300

= 110

Alyssa has read 110 more pages than Gerg.

9. On Tuesday, Friday and Saturday Alyssa read exactly five pages more than Greg.

10. Total number of pages Alyssa read = 410

11. Total number of pages Greg read = 300

12. Alyssa is more consistent.

Problem 2 :

Study this graph illustrating how many minutes Sarah and Catherine practiced playing the piano in a period of six weeks. Answer the questions below.

1. How many minutes did Sarah practice the first week? 

2. How many minutes did Catherine practice the first week?

3. How many minutes did Sarah practice for the entire six weeks?

4. How many minutes did Catherine practice for the entire six weeks?

5. Which student practiced more in the sixth week? 

Solution :

1. In the 1st week Sarah has practiced 90 minutes.

2. In the 1st week Catherine has practiced 45 minutes.

3.

Sarah has practiced 375 minutes in the entire week.

4. In the entire 6 weeks Catherine has practiced 360 minutes.

5. Sarah has practiced more.

Problem 3 :

Two families travel 900 km by car from Rome to Lugano. The journeys are shown on the graph alongside: 

Use the graph to determine: 

a) which family arrived in Lugano first 

b) how long the Pellegrini family took for lunch in Como 

c) the distance travelled by the Rossini family between the 3^rd and 8^th hours.

Solution :

a) Rossini has arrived Lugano first.

b) The spent where the curve flatten can be considered as the time taken for lunch. The red curve is flattening between 6 to 8. So, Pelligrini's family is taking 2 hours for lunch in Como.

c) Roshini's family has covered the distance = 700 - 300

 = 400

Problem 4 :

Directions: Use the information on page and the two graphs above to answer these questions.

1. How many hours did Carlos spend doing homework on Tuesday?

2. How many   hours did Janet spend doing homework on Tuesday?

3. On which day did neither student do any homework?

4. How many hours did Carlos spend on homework this week?

5. How many hours of homework a day did Carlos average over seven days?

6. How many hours did Janet spend on homework this week?

Solution :

1. Carols was spending 3 hours on doing his homework of Tuesday.

2. Janet was also spending 3 hours on doing his homework on Tuesday.

3. On friday both students were not doing homework.

4. How many hours did Carlos spend on homework this week?

Number of hours spent by Carols

= 1 + 3 + 0.5 + 2.5 + 0 + 4 + 6

= 17 hours

5. Average hours = 17/7

= 2.42 hours

6.

Time Janet is spending :

= 3 + 3 + 2.5 + 2.5 + 0 + 2. 5 + 3

= 16.5 hours