Interpreting a Function as a Graph

Jared measured the total height of the water in a bucket at different times during a rainfall. He displays his data using the graph shown. Select ALL the conclusions that Jared can correctly make using the graph.

• The height of the water in the bucket increases 1/2 inch every minute.

• The height of the water in the bucket increases at a rate of 3 inches per hour.

• In the first 20 minutes, the height of the water increases by 2 inches.

• It takes 60 minutes for the height of the water to increase by 4 inches.

• There is already 1 inch of water in the bucket when Jared places it outside.

This graph shows the population of the town of Golden Hills, modeled as a function of time since the town's found.

• The population is increasing throughout the time period.

• The greatest growth in population was from year 5 to 15.

• The population has a constant rate of change.

• The population was about 9,000 when the town was founded.

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way. Here is the distance-time graph for the journey.

How far was Edward from home when he visited Nicola?

• 30 miles

• 40 miles

• 10 miles

• 45 miles

What are the x- and y -intercepts on this graph?

• (0,5), (0,5)

• (5,0), (5,0)

• (5,0), (0,5)

• (0,0), (5,0)

This graph shows the amount of gas, in ounces, in a lawn mower gas tank, modeled as a function of time.

• The maximum amount of gas in the gas tank was 60 ounces.

• The amount of gas in the gas tank is at a maximum at 0 minutes.

• The gas tank will be empty after 60 minutes.

What is a plausible description of this graph?

• The object began moving away quickly at a constant speed. It stopped. It then turned to return at a constant speed.

• The object changed diections three times.

• The object began walking away slowly then began running away. Both were at constant speeds. It then turned and walked back to where it started.

• The object began moving away at a constant speed. It continued moving away, but slowed its speed. It then turned around and returned home at a speed that was probably in between the first two speeds.

What is a plausible story for this graph?

• A student was jogging from school to home. She stopped to tie her shoe and take a drink from her water bottle, then continued at the same pace as before.

• A student was jogging from school to home. She walked for a while, then continued jogging.

• A sled rider was going down a hill. The hill was steep at first, then kind of flat. At the end, it was steep again.

• A car was slowing down, then contued moving at a constant rate. Finally, it slowed to a stop,

The graph shows Ashley riding her bike to Maria's house. 
What was occurring from point B to point C?

• She was increasing her speed.

• She stopped for 4 minutes

• She was decreasing in speed

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way.

Here is the distance-time graph for the journey.

How long did Edward stop for?

• 2 hours

• 1 hour

• 1.2 hours

• 1.5 hours

Anne cycles from Bristol to Salisbury.

The diagram shows the distance-time graph of her journey.

How far from Bristol is Anne at 8:00?

• 15 miles

• 20 miles

• 10 miles

• 40 miles