Mastering Slope: Real-World Problems & Equations

A car travels from point A to point B, which are 3 miles apart vertically and 4 miles apart horizontally. What is the slope of the line representing the car's path?

• 3/4

• 2/3

• 1/2

• 4/3

The equation of a line representing the cost of a phone plan is y = 20x + 50, where y is the total cost and x is the number of months. What is the slope of this line?

• 20

• 10

• 30

• 50

A bike rental shop charges a flat fee of $15 plus $5 for each hour rented. What is the slope of the line that represents the total cost of renting a bike?

• 20

• 5

• 15

• 10

Two friends start a lemonade stand. Friend A sells 10 cups for $5 and Friend B sells 15 cups for $10. What is the slope of the line representing the earnings per cup for each friend?

• 0.10

• 0.25

• 0.17

• 0.20

A train travels from station X to station Y, covering a distance of 120 miles in 2 hours. What is the slope of the line representing the train's speed?

• 90 miles per hour

• 120 miles per hour

• 30 miles per hour

• 60 miles per hour

The equation of a line representing the height of a plant over time is h = 2t + 5, where h is the height in inches and t is the time in weeks. What is the slope of this line?

• 1

• 3

• 2

• 5

A student scores 80 points on a test and 90 points on the next test, with the tests taken 1 week apart. What is the slope of the line representing the student's score improvement?

• 15

• 5

• 20

• 10

A delivery truck travels 50 miles in 1 hour and 100 miles in 2 hours. What is the slope of the line representing the truck's speed?

• 100 miles per hour

• 75 miles per hour

• 25 miles per hour

• 50 miles per hour

The equation of a line representing the relationship between hours studied and test scores is s = 10h + 50. What is the slope of this line?

• 10

• 100

• 10h

• 50

A gardener plants 5 trees in 2 hours and 15 trees in 6 hours. What is the slope of the line representing the rate of planting trees?

• 3.0

• 1.5

• 4.0

• 2.5