Calculating Slope from Tables: A 7th Grade Challenge

A table shows the number of books read by a student over 4 months: Month 1: 2 books, Month 2: 5 books, Month 3: 8 books, Month 4: 11 books. What is the slope of the linear relationship between the months and the number of books read?

• 6

• 4

• 2

• 3

A car travels 100 miles in 2 hours and 150 miles in 3 hours. Create a table with this data and find the slope of the linear relationship between time and distance traveled.

• 75

• 25

• 50

• 100

A gardener records the height of a plant over 5 weeks: Week 1: 3 cm, Week 2: 6 cm, Week 3: 9 cm, Week 4: 12 cm, Week 5: 15 cm. What is the slope of the height of the plant over time?

• 4 cm/week

• 5 cm/week

• 3 cm/week

• 2 cm/week

A store sells 10 shirts in the first week and 30 shirts in the fourth week. If the sales are linear, what is the slope of the relationship between weeks and shirts sold?

• 15

• 6.67

• 10

• 5

A table shows the temperature in degrees Celsius at different times of the day: 8 AM: 15°C, 12 PM: 25°C, 4 PM: 35°C. Calculate the slope of the temperature increase from 8 AM to 4 PM.

• 1.5°C per hour

• 2.5°C per hour

• 4°C per hour

• 3°C per hour

A cyclist travels 20 miles in 1 hour and 50 miles in 3 hours. Create a table and find the slope of the distance over time. What does this slope represent?

• 15 miles per hour

• 17.5 miles per hour

• 10 miles per hour

• 20 miles per hour

A student scores the following on tests: Test 1: 70, Test 2: 80, Test 3: 90. If the scores are plotted on a table, what is the slope of the linear relationship between the test number and the score?

• 5

• 20

• 10

• 15

A factory produces 100 toys in the first hour and 300 toys in the third hour. What is the slope of the production rate over time based on this data?

• 150 toys per hour

• 100 toys per hour

• 200 toys per hour

• 250 toys per hour

A table shows the number of hours studied and the corresponding test scores: 1 hour: 60, 2 hours: 75, 3 hours: 90. What is the slope of the relationship between hours studied and test scores?

• 10

• 15

• 25

• 20

A table shows the distance a runner covers over time: 1 minute: 100 meters, 2 minutes: 200 meters, 3 minutes: 300 meters. What is the slope of the distance over time?

• 100 meters per minute

• 150 meters per minute

• 200 meters per minute

• 50 meters per minute