Interpreting and Creating Graphs

Tyler filled up his bathtub, took a bath, and then drained the tub. The function gives the depth of the water, in inches, $$t$$ minutes after Tyler began to fill the bathtub. These statements describe how the water level in the tub was changing over time. Use the statements to sketch an approximate graph of function.

The graphs show the distance, $$d$$ , traveled by two cars, A and B, over time, $$t$$ . Distance is measured in miles and time is measured in hours. Which car traveled slower? Explain how you know.

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.

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.

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.

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.

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.

This graph represents (a)   .

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.