Slope Interpretation and Data Analysis Challenge for 8th Grade

A car travels from point A to point B. The distance in miles is represented in a table as follows: | Time (hours) | Distance (miles) | |--------------|------------------| | 0 | 0 | | 1 | 50 | | 2 | 100 | What is the slope of the line representing the car's travel? Interpret the slope in context.

• 70 miles per hour

• 30 miles per hour

• 100 miles per hour

• 50 miles per hour

A gardener records the height of a plant over several weeks. The data is shown in the table below: | Week | Height (inches) | |------|------------------| | 1 | 2 | | 2 | 4 | | 3 | 6 | | 4 | 8 | What is the slope of the line that represents the plant's growth? What does this slope indicate about the plant's growth rate?

• 4 inches/week

• 1 inch/week

• 2 inches/week

• 3 inches/week

A bike rental service charges a flat fee plus a per-hour rate. The table below shows the total cost for different rental times: | Hours | Total Cost ($) | |-------|-----------------| | 1 | 10 | | 2 | 15 | | 3 | 20 | Find the slope of the line and write the equation that represents the total cost in terms of hours rented. What does the slope represent?

• Total Cost = 10 * Hours; Slope = 10 (represents the total cost).

• Total Cost = 2 * Hours + 8; Slope = 2 (represents the flat fee).

• Total Cost = 5 * Hours + 5; Slope = 5 (represents the per-hour rate).

• Total Cost = 7 * Hours + 3; Slope = 7 (represents the per-hour rate).

A student tracks the number of pages read each week. The data is as follows: | Week | Pages Read | |------|------------| | 1 | 10 | | 2 | 25 | | 3 | 40 | | 4 | 55 | Calculate the slope of the line that represents the pages read over time. What does this slope tell you about the student's reading habits?

• 20

• 15

• 30

• 10

A factory produces widgets, and the production data is recorded in the table below: | Day | Widgets Produced | |-----|------------------| | 1 | 100 | | 2 | 150 | | 3 | 200 | | 4 | 250 | Determine the slope of the production line and write the equation for widgets produced over days. What does the slope indicate about production efficiency?

• Slope: 50; Equation: y = 50x + 50

• Slope: 100; Equation: y = 100x + 0

• Slope: 75; Equation: y = 75x + 25

• Slope: 25; Equation: y = 25x + 100

A runner tracks their distance over time, recorded in the table below: | Time (minutes) | Distance (miles) | |----------------|-------------------| | 0 | 0 | | 10 | 1 | | 20 | 2 | | 30 | 3 | What is the slope of the line? Interpret this slope in the context of the runner's speed.

• 0.05 miles per minute

• 0.1 miles per minute

• 0.2 miles per minute

• 1 mile per minute

A restaurant tracks the number of customers over a week. The data is shown in the table: | Day | Customers | |----------|-----------| | Monday | 30 | | Tuesday | 50 | | Wednesday| 70 | | Thursday | 90 | Find the slope of the line representing customer growth. What does this slope suggest about the restaurant's popularity?

• The slope of the line is 15.

• The slope of the line is 30.

• The slope of the line is 10.

• The slope of the line is 20.

A school measures the number of books read by students over a month. The data is as follows: | Week | Books Read | |------|------------| | 1 | 5 | | 2 | 10 | | 3 | 15 | | 4 | 20 | Calculate the slope of the line and write the equation for books read over weeks. What does the slope indicate about reading habits?

• Slope: 0; Equation: y = 0x

• Slope: 10; Equation: y = 10x

• Slope: 5; Equation: y = 5x

• Slope: 15; Equation: y = 15x

A delivery service tracks the number of packages delivered each day. The data is as follows: | Day | Packages Delivered | |-----|--------------------| | 1 | 20 | | 2 | 40 | | 3 | 60 | | 4 | 80 | Determine the slope of the delivery line and write the equation. What does the slope tell you about the delivery service's performance?

• Slope: 10, Equation: y = 10x

• Slope: 40, Equation: y = 40x

• Slope: 20, Equation: y = 20x

• Slope: 30, Equation: y = 30x

A fitness tracker records the number of steps taken each day. The data is shown in the table below: | Day | Steps | |-----|-------| | 1 | 5000 | | 2 | 7000 | | 3 | 9000 | | 4 | 11000 | Find the slope of the line representing steps taken. Interpret this slope in the context of the user's activity level.

• The slope is 1500 steps per day, meaning the user maintains a constant activity level.

• The slope is 3000 steps per day, suggesting the user is less active each day.

• The slope is 1000 steps per day, indicating a decrease in activity level.

• The slope is 2000 steps per day, indicating that the user increases their activity level by 2000 steps each day.