Exploring Slope: Real-Life Applications and Equations

A car travels at a constant speed of 60 miles per hour. If the car travels for 2 hours, what is the slope of the distance-time graph? Write the equation for the distance traveled as a function of time.

• Slope: 60; Equation: d(t) = 60t

• Slope: 60; Equation: d(t) = 120t

• Slope: 90; Equation: d(t) = 90t

• Slope: 30; Equation: d(t) = 30t

Tags

CCSS.8.EE.B.5

A gardener plants a tree that grows 3 inches every year. If the tree is currently 4 feet tall, what does the slope represent in this context? Write an equation for the height of the tree after 't' years.

• height = 48 + 2t

• height = 48 + 4t

• height = 48 + 3t

• height = 36 + 3t

A cyclist rides at a speed of 15 miles per hour. If the cyclist rides for 3 hours, what is the slope of the distance-time graph? Write the equation for the distance traveled as a function of time.

• Slope: 10; Equation: d(t) = 10t

• Slope: 15; Equation: d(t) = 15t

• Slope: 20; Equation: d(t) = 20t

• Slope: 15; Equation: d(t) = 30t

Tags

CCSS.8.EE.B.5

A company produces 100 units of a product in the first month and increases production by 20 units each subsequent month. What does the slope represent in this scenario? Write an equation for the total production after 'm' months.

• Total Production = 100 + 10 * (m - 1)

• Total Production = 100 + 30 * (m - 1)

• Total Production = 100 + 20 * (m - 1)

• Total Production = 100 + 20 * m

A train travels 120 miles in 2 hours. What is the slope of the distance-time graph? Write the equation for the distance traveled as a function of time.

• Slope: 60 miles per hour; Equation: distance = 60t

• Slope: 50 miles per hour; Equation: distance = 50t

• Slope: 80 miles per hour; Equation: distance = 80t

• Slope: 30 miles per hour; Equation: distance = 30t

Tags

CCSS.8.EE.B.5

A student scores 80 points on a test and improves by 5 points each subsequent test. What does the slope represent? Write an equation for the student's score after 'n' tests.

• S(n) = 80 - 5n

• S(n) = 80 + 5n

• S(n) = 85 + 5n

• S(n) = 80 + n

A water tank is being filled at a rate of 10 gallons per minute. If the tank starts empty, what does the slope represent? Write an equation for the volume of water in the tank after 't' minutes.

• V(t) = 5t

• V(t) = 10t + 5

• V(t) = 10t

• V(t) = 20t

A factory produces 200 toys in the first week and increases production by 50 toys each week. What does the slope indicate? Write an equation for the total number of toys produced after 'w' weeks.

• Total toys = 200 + 50 * (w + 1)

• Total toys = 200 + 50 * (w - 2)

• Total toys = 200 + 50 * w

• Total toys = 200 + 50 * (w - 1)

A runner completes a 5K race in 25 minutes. If the runner maintains a constant pace, what is the slope of the distance-time graph? Write the equation for the distance covered as a function of time.

• Slope: 4 meters/second; Equation: d(t) = 4t

• Slope: 2.5 meters/second; Equation: d(t) = 2.5t

• Slope: 3.33 meters/second; Equation: d(t) = 3.33t

• Slope: 5 meters/second; Equation: d(t) = 5t

Tags

CCSS.8.EE.B.5

A phone plan costs $30 per month plus $0.10 per minute of calls. What does the slope represent in this context? Write an equation for the total cost 'C' as a function of the number of minutes 'm' used.

• C = 30 + 0.05m

• C = 30 + 0.10m

• C = 30m + 0.10

• C = 0.10 + 30m