Real-Life Slope: Calculate and Identify with Context

A car travels from point A to point B, which are 100 miles apart. If the car takes 2 hours to reach point B, what is the slope of the car's journey in miles per hour?

• 25 miles per hour

• 50 miles per hour

• 75 miles per hour

• 100 miles per hour

A mountain trail rises 300 feet over a distance of 1,500 feet. What is the slope of the trail?

• 0.15

• 0.5

• 0.2

• 0.25

A bike rental shop charges a flat fee of $10 plus $2 per hour. What is the slope of the cost in relation to the number of hours rented?

• 0

• 2

• 5

• 10

A student scores 70 on their first test and 90 on their second test after studying harder. If the tests were taken 2 weeks apart, what is the slope of the student's score improvement per week?

• 20

• 5

• 10

• 15

A gardener plants flowers in a straight line. If the flowers are planted 4 feet apart and the line rises 2 feet over that distance, what is the slope of the flower bed?

• 0.5

• 2

• 0.25

• 1

A train travels from station X to station Y, covering a distance of 240 miles in 4 hours. What is the slope of the train's speed in miles per hour?

• 60 miles per hour

• 80 miles per hour

• 70 miles per hour

• 50 miles per hour

A building is 60 feet tall and is built on a hill that rises 120 feet over a horizontal distance of 300 feet. What is the slope of the hill?

• 0.4

• 0.6

• 0.5

• 0.2

A runner completes a 5K race in 25 minutes. If the race is 3.1 miles long, what is the slope of the runner's speed in miles per minute?

• 0.124 miles per minute

• 0.2 miles per minute

• 0.15 miles per minute

• 0.1 miles per minute

A water tank is filled at a rate of 15 gallons per hour. If it takes 4 hours to fill the tank, what is the slope of the water level in gallons per hour?

• 10 gallons per hour

• 20 gallons per hour

• 15 gallons per hour

• 5 gallons per hour

A student’s grades improved from 75 to 90 over 3 grading periods. What is the slope of the grade improvement per grading period?

• 3

• 10

• 7

• 5