Exploring Slope: Real-World Linear Problems for 8th Graders

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the slope of the cost equation, and what does it represent in this context?

• 0.20

• $0.10 per mile

• $50

• 0.50

Tags

CCSS.8.EE.B.5

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, what is the slope of the line representing the number of flowers planted over time?

• 2

• 10

• 5

• 0

Tags

CCSS.8.EE.B.5

A phone plan costs $30 per month plus $0.10 per text message. Identify the slope from the cost equation and explain its significance.

• $30

• $0.05

• 0.10

• $1.00

Tags

CCSS.8.EE.B.5

A train travels at a constant speed of 60 miles per hour. If the distance traveled is represented by the equation d = 60t, what is the slope, and what does it indicate about the train's journey?

• The slope is 90, indicating the train travels 90 miles per hour.

• The slope is 30, indicating the train travels 30 miles per hour.

• The slope is 60, indicating the train travels 60 kilometers per hour.

• The slope is 60, indicating the train travels 60 miles per hour.

Tags

CCSS.HSF.LE.B.5

A store sells notebooks for $2 each. Write the equation for the total cost of notebooks purchased and identify the slope. What does the slope tell you?

• C = 2n; slope = 2

• C = 3n; slope = 3

• C = n/2; slope = 0.5

• C = 2n + 1; slope = 2

Tags

CCSS.HSF.LE.B.5

A cyclist rides at a speed of 15 miles per hour. If the distance covered is represented by the equation d = 15t, what is the slope, and how does it relate to the cyclist's speed?

• The slope is 15, which represents the cyclist's speed in miles per hour.

• The slope is 15, but it represents the distance covered.

• The slope is 10, indicating a slower speed.

• The slope is 20, which is twice the cyclist's speed.

Tags

CCSS.8.EE.B.5

A factory produces 100 toys per hour. If the total number of toys produced is represented by the equation T = 100h, identify the slope and interpret its meaning in this scenario.

• The slope is 200, meaning the factory produces 200 toys for each hour of operation.

• The slope is 50, indicating the factory produces 50 toys per hour.

• The slope is 100, meaning the factory produces 100 toys for each hour of operation.

• The slope is 100, but it represents the total toys produced in a day.

Tags

CCSS.HSF.LE.B.5

A taxi charges a base fare of $3 plus $2 per mile. What is the slope of the fare equation, and what does it represent in the context of the taxi ride?

• The slope of the fare equation is 5, representing the cost per mile.

• The slope of the fare equation is 0, representing a flat rate.

• The slope of the fare equation is 3, representing the total fare.

• The slope of the fare equation is 2, representing the cost per mile.

Tags

CCSS.8.EE.B.5

A student scores 10 points for each correct answer on a test. If the total score is represented by the equation S = 10c, where c is the number of correct answers, identify the slope and explain its significance.

• The slope is 0.

• The slope is 5.

• The slope is 20.

• The slope is 10.

Tags

CCSS.HSF.LE.B.5

A water tank fills at a rate of 5 gallons per minute. Write the equation for the volume of water in the tank over time and identify the slope. What does this slope indicate about the filling process?

• V(t) = 10t; slope = 10 gallons per minute, indicating a variable filling rate.

• V(t) = 5t + 2; slope = 5 gallons per minute, indicating a decreasing filling rate.

• V(t) = 5t; slope = 0 gallons per minute, indicating no filling process.

• V(t) = 5t; slope = 5 gallons per minute, indicating a constant filling rate.

Tags

CCSS.HSF.LE.B.5