Calculating and Interpreting Slope in Real Life

A car travels from point A (2, 3) to point B (6, 11). What is the slope of the line connecting these two points?

• 3

• 4

• 2

• 1

If the slope of a line representing a bike's speed is 4, what does this mean in terms of distance traveled over time?

• The bike travels 4 units of time for every unit of distance.

• The bike travels 4 units of distance for every unit of time.

• The bike travels 2 units of distance for every unit of time.

• The bike travels 1 unit of distance for every 4 units of time.

A hiker climbs from a base camp at (1, 2) to a peak at (5, 10). Calculate the slope of the hike. What does this slope indicate about the steepness of the trail?

• The slope of the hike is 3.

• The slope of the hike is 2.

• The slope of the hike is 0.5.

• The slope of the hike is 1.

A company’s profit increased from $2000 at month 1 to $5000 at month 4. What is the slope of the profit line, and what does it represent?

• 1000

• 1500

• 2500

• 2000

A student’s test scores are plotted at (1, 75) for the first test and (4, 90) for the fourth test. Calculate the slope and interpret what it means for the student's performance.

• The slope is 15, indicating the student improves their score by 15 points per test.

• The slope is 10, indicating the student improves their score by 10 points per test.

• The slope is 5, indicating the student improves their score by 5 points per test.

• The slope is 3, indicating the student improves their score by 3 points per test.

A train travels from station A at (0, 0) to station B at (10, 20). What is the slope of the train's path, and what does it tell you about the train's speed?

• The slope of the train's path is 5.

• The slope of the train's path is 1.

• The slope of the train's path is 0.

• The slope of the train's path is 2.

A gardener measures the height of a plant over time, recording points (1, 2) and (3, 8). Calculate the slope and explain what it indicates about the plant's growth rate.

• The slope is 2, indicating a growth rate of 2 units per time unit.

• The slope is 4, indicating a growth rate of 4 units per time unit.

• The slope is 3, indicating a growth rate of 3 units per time unit.

• The slope is 1, indicating a growth rate of 1 unit per time unit.

A city’s population increased from 50,000 to 70,000 over 5 years. What is the slope of the population growth, and what does it signify?

• The slope of the population growth is 6000.

• The slope of the population growth is 4000.

• The slope of the population growth is 5000.

• The slope of the population growth is 2000.

A runner's distance over time is represented by the points (0, 0) and (5, 15). Find the slope and interpret its meaning in the context of the runner's speed.

• The slope is 1, indicating the runner's speed is 1 unit of distance per unit of time.

• The slope is 3, indicating the runner's speed is 3 units of distance per unit of time.

• The slope is 0, indicating the runner is not moving.

• The slope is 5, indicating the runner's speed is 5 units of distance per unit of time.

A building's height increases from 30 feet at the first floor to 90 feet at the third floor. Calculate the slope and explain what this means for the building's design.

• 50 feet per floor

• 20 feet per floor

• 40 feet per floor

• 30 feet per floor