Slope Identification & Calculation Challenges for 8th Graders

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 distance over time?

• 100 miles per hour

• 75 miles per hour

• 50 miles per hour

• 25 miles per hour

A gardener plants a tree that grows 3 feet every year. If the tree is currently 5 feet tall, what is the slope of the tree's height over the years?

• 5 feet per year

• 3 feet per year

• 1 foot per year

• 2 feet per year

A cyclist rides at a speed of 15 miles per hour. If he starts from a point 10 miles away from the finish line, what is the slope of the distance to the finish line over time?

• 10 miles per hour

• -10 miles per hour

• 0 miles per hour

• -15 miles per hour

A company’s profit increases by $2000 for every additional product sold. If the initial profit was $5000, what is the slope of the profit in relation to the number of products sold?

• 3000

• 5000

• 2000

• 1000

A student scores 80 points on a test and increases her score by 5 points for each subsequent test. What is the slope of her scores over time?

• 3

• 10

• 5

• 8

A train travels 120 miles in 3 hours. What is the slope of the train's distance over time?

• 40 miles per hour

• 30 miles per hour

• 60 miles per hour

• 50 miles per hour

A recipe requires 2 cups of flour for every 3 batches of cookies. What is the slope of flour used per batch?

• 4/3 cups per batch

• 3 cups per batch

• 1 cup per batch

• 2/3 cups per batch

A phone plan charges a base fee of $30 and an additional $10 for each gigabyte of data used. What is the slope of the cost in relation to data usage?

• 10

• 5

• 15

• 20

A runner completes a 5K race in 25 minutes. If the runner maintains a constant speed, what is the slope of the distance over time?

• 8 km/h

• 12 km/h

• 15 km/h

• 10 km/h

A factory produces 500 units in the first hour and increases production by 100 units every hour. What is the slope of production over time?

• 200

• 150

• 50

• 100