Interpreting and Creating Graphs

Evaluate responses using AI:

OFF

Evaluate responses using AI:

OFF

Here are descriptions of four situations in which the volume of water in a tank is a function of time. Match each description to a corresponding graph.

• 
• 
• 
• 
• A 2,000-gallon water tank starts out empty. It is being filled for 5 hours, slowly at first, and faster later.

Clare describes her morning at school yesterday: “I entered the school on the first floor, then walked up to the third floor and stayed for my class for an hour. Afterwards, I had an hour-long class in the basement, and after that I went back to the ground level and sat outside to eat my lunch." Sketch a possible graph of her height from the ground floor as a function of time.

Evaluate responses using AI:

OFF

A bird flies out of its nest.  This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).

Place a X to mark the point on the graph that represents the bird’s greatest distance from its nest.

Place a O to mark the point that represents the bird’s return to its nest.

a

b

O

X

Match the following This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200. Select True or False for each statement.

• True

• The mouse population was the greatest around day 160.

• False

• The mouse population was decreased between day 40 and day 80.

• True

• The least number of mice during the study was 130.

• True

• There are two intervals of time where the mouse population decreases.

Match the following This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200. Select True or False for each statement.

• True

• The mouse population was the greatest around day 160.

• False

• The least number of mice during the study was 130.

• True

• There are two intervals of time where the mouse population decreases.

• True

• The mouse population was decreased between day 40 and day 80.

A bird flies out of its nest.  This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).

Place a X to mark the point on the graph that represents the bird’s greatest distance from its nest.

Place a O to mark the point that represents the bird’s return to its nest.

a

b

X

O

This graph represents (a)   .

• Constant Speed

• Acceleration

• Not moving

Identify the following two points on the graph. (1) The bird's greatest distance from its nest. (2) The point that represents the bird's return to its nest.

a

b

(2)

(1)