Exploring Slope: Real-Life Calculations & Equations

A line on a graph rises 3 units for every 2 units it runs. What is the slope of the line?

• 4/3

• 1/2

• 2/3

• 3/2

If a car travels 150 miles in 3 hours, what is the slope of the distance-time graph? Write the slope-intercept equation for this scenario.

• 75 miles per hour; d = 75t

• 100 miles per hour; d = 100t

• 50 miles per hour; d = 50t

• 30 miles per hour; d = 30t

A mountain trail rises 200 feet over a horizontal distance of 800 feet. What is the slope of the trail?

• 1.0

• 0.5

• 0.1

• 0.25

A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. Write the slope-intercept equation for the total cost based on hours rented.

• C = 10 + 2h + 5

• C = 2h + 10

• C = 2h

• C = 10h + 2

A line on a graph has a slope of -4. If the line passes through the point (2, 3), what is the slope-intercept equation of the line?

• y = 4x - 5

• y = -4x + 11

• y = -4x + 3

• y = -4x - 1

A student scores 80 points on a test and then scores 90 points on the next test. If the tests are taken 1 week apart, what is the slope of the points scored over time?

• 10

• 20

• 5

• 15

A gardener plants flowers in a row that rises 5 inches for every 10 feet. What is the slope of the flower bed?

• 1/12

• 1/24

• 1/20

• 1/30

A train travels at a constant speed and covers 120 miles in 2 hours. What is the slope of the distance-time graph? Write the slope-intercept equation for this situation.

• 30 miles per hour; y = 30x

• 120 miles per hour; y = 120x

• 60 miles per hour; y = 60x

• 90 miles per hour; y = 90x

A line on a graph starts at the point (0, 5) and has a slope of 3. Write the slope-intercept equation for this line.

• y = 3x + 3

• y = 3x + 5

• y = 3x - 5

• y = 5x + 3

A skateboard ramp rises 6 feet over a distance of 12 feet. What is the slope of the ramp?

• 1/3

• 2/3

• 3/2

• 1/2