Describing Function Relationships Worksheet - Free Printable

I'll solve this problem by matching each story with the corresponding graph that best represents its function relationship. I'll analyze each story and graph to find the correct pairings.

First, let's understand what we're looking for: each story describes a change in altitude over time, and we need to match it with a graph showing altitude (y-axis) vs. time (x-axis).

Let me start by analyzing Story 1:
"A pilot started her flight at sea level. After climbing at a constant rate, she cruised at a constant altitude for a while. Then, she descended at a constant rate until she landed the plane at sea level."

This describes a pattern of: increase → flat → decrease. Looking at the graphs, Graph G shows exactly this pattern: ascending line, then horizontal line, then descending line back to the x-axis.

Now let's look at Story 2:
"Mr. Hua is on a helicopter tour. The helicopter is flying at a constant altitude above the city. Then, the helicopter descends at a constant rate until it reaches the ground at sea level."

This is: flat → decrease. Graph C matches this: horizontal line followed by a downward slope to the x-axis.

Story 3:
"At the Riverside Hot Air Balloon Festival, one of the hot-air balloons took off from sea level, climbing at a constant rate. Then it continued flying at a constant altitude."

This is: increase → flat. Graph B matches this: upward slope followed by a horizontal line.

Story 4:
"A skydiver is on a plane flying at a constant altitude. He jumps out and quickly descends at a constant rate. When his parachute opens, he descends at a slower constant rate until he safely reaches the ground at sea level."

This is: flat (on plane) → steep decrease → less steep decrease. Graph E matches this: horizontal line, then steep downward slope, then less steep downward slope to the x-axis.

Story 5:
"Li has a remote-controlled drone. She placed the drone on the ground at sea level. Then, Li started to operate the drone, and it ascended at a constant rate."

This is: start at 0 → increase. Graph A matches this: starts at origin and goes upward at a constant rate.

Story 6:
"A weather satellite orbited the Earth at a constant altitude to collect global weather data."

This is: constant altitude. Graph D matches this: horizontal line at some altitude.

Story 7:
"A red-tailed hawk was flying at a constant altitude then quickly descended. After that, the hawk ascended at a constant rate back to its previous altitude."

This is: flat → steep decrease → increase back to original level. Graph H matches this: horizontal line, then steep downward slope, then upward slope back to original height.

Story 8:
"Ian's kite was swept out of his hands by a huge gust of wind. When the wind died back down, the kite fell at a constant rate until it reached sea level."

This is: start at some altitude → decrease to 0. Graph F matches this: starts at some height, goes up slightly (gust of wind), then decreases to 0.

Based on my analysis, here are the correct matches:

1. G
2. C
3. B
4. E
5. A
6. D
7. H
8. F