Interpreting Slope from Graphs: Real-World Contexts

A car travels at a constant speed. The graph shows the distance traveled over time. If the slope of the graph is 60 miles per hour, what does this mean in the context of the car's journey?

• The car is traveling at a speed of 30 miles per hour.

• The car is accelerating to 60 miles per hour.

• The car's speed is decreasing over time.

• The car is traveling at a constant speed of 60 miles per hour.

A plant grows steadily over a month. The graph shows the height of the plant each week. If the slope of the graph is 2 inches per week, how does this relate to the plant's growth?

• The plant's height remains constant throughout the month.

• The plant grows 2 inches each week.

• The plant grows 4 inches every two weeks.

• The plant grows 1 inch each week.

A cyclist rides a bike up a hill. The graph shows the elevation of the hill over distance. If the slope is 0.5, what does this indicate about the steepness of the hill?

• The hill has a slight decline.

• The hill is flat.

• The hill is very steep.

• The hill has a moderate steepness.

A student saves money each week. The graph shows the total savings over time. If the slope is $10 per week, what does this tell you about the student's saving habits?

• The student saves $10 each week.

• The student saves $10 every two weeks.

• The student saves $20 each week.

• The student saves $5 each week.

A runner's speed is tracked over a race. The graph shows the distance covered over time. If the slope is 4 meters per second, what does this imply about the runner's performance?

• The runner's speed is decreasing to 4 meters per second.

• The runner is maintaining a speed of 4 meters per second.

• The runner is accelerating over time.

• The runner is running at a speed of 4 kilometers per hour.

A factory produces toys. The graph shows the number of toys produced over days. If the slope is 50 toys per day, what does this indicate about the factory's production rate?

• The factory produces toys at a rate of 50 toys per day.

• The factory produces 100 toys per day.

• The factory's production rate is decreasing over time.

• The factory produces toys at a rate of 25 toys per day.

A water tank is being filled. The graph shows the volume of water over time. If the slope is 20 liters per minute, what does this mean for the filling process?

• The tank is being emptied at a rate of 20 liters per minute.

• The tank is filled to a maximum capacity of 20 liters per minute.

• The water level is decreasing by 20 liters every minute.

• The tank is being filled at a rate of 20 liters per minute.

A student reads books over a summer. The graph shows the number of pages read over weeks. If the slope is 15 pages per week, how does this reflect the student's reading habits?

• The slope of the graph shows the student read fewer pages each week.

• The student reads 30 pages per week, indicating a sporadic reading habit.

• The student reads an average of 15 pages per week, reflecting a consistent reading habit.

• The student reads a total of 15 pages over the entire summer, showing minimal interest.

A bus travels a route. The graph shows the distance from the start point over time. If the slope is 30 miles per hour, what does this suggest about the bus's speed?

• The bus's speed is 30 miles per hour.

• The bus's speed fluctuates between 20 and 40 miles per hour.

• The bus is stationary.

• The bus's speed is 60 miles per hour.

A tree grows taller each year. The graph shows the height of the tree over years. If the slope is 3 feet per year, what does this indicate about the tree's growth rate?

• The tree remains the same height every year.

• The tree's height decreases by 3 feet each year.

• The tree grows at a rate of 3 feet per year.

• The tree grows at a rate of 5 feet per year.