Calculating Slope: Real-Life Scenarios for Grade 7

A car travels from point A (2, 3) to point B (5, 11). What is the slope of the line representing the car's path?

• 3/2

• 5/8

• 7/4

• 8/3

A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. What is the slope of the line representing the total cost as a function of hours rented?

• 1

• 5

• 10

• 2

A student scores 70 points on their first test and 90 points on their second test. If the tests are taken at points (1, 70) and (2, 90), what is the slope of the line connecting these two points?

• 10

• 50

• 20

• 30

A gardener plants flowers in a straight line. If the first flower is planted at (1, 2) and the last flower at (4, 8), what is the slope of the line formed by the flowers?

• 2

• 1

• 3

• 4

A train travels from station X at (0, 0) to station Y at (6, 12). What is the slope of the train's route?

• 4

• 2

• 1

• 3

A mountain trail rises from a base camp at (3, 1) to a peak at (7, 5). Calculate the slope of the trail.

• 2

• 0.5

• 1

• 3

A graph shows the temperature in degrees Fahrenheit over time. At 2 PM, the temperature is 50°F (2, 50) and at 4 PM, it is 70°F (4, 70). What is the slope of the temperature increase?

• 10°F per hour

• 5°F per hour

• 15°F per hour

• 20°F per hour

A delivery truck moves from point C (1, 4) to point D (3, 10). What is the slope of the line representing the truck's route?

• 3

• 5

• 4

• 2

A swimming pool is filled at a rate of 5 gallons per minute. If the pool starts empty at (0, 0) and reaches 50 gallons at (10, 50), what is the slope of the line representing the water level?

• 50 gallons per minute

• 5 gallons per minute

• 10 gallons per minute

• 2 gallons per minute

A school is planning to build a new playground. The cost is estimated to increase from $20,000 at (0, 20000) to $30,000 at (5, 30000). What is the slope of the cost increase?

• 3000

• 2500

• 1500

• 2000