Unit 2 – Graphing Linear Equations
Name
Date
Tuesday September 29, 2015
Homework: Slope as a Rate of Change
1. A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700
feet. What is the average rate of change?
2. A scuba diver is 20 feet below the surface of the water 10 seconds after he entered the water and 100 feet
below the surface after 50 seconds. What is the scuba divers rate of change?
3. A rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the
rockets rate of change in miles per second? What about in miles per minute?
4. A teacher weighed 145 pounds in 1997 and weighs 190 pounds in 2015. What was the rate of change in
weight?
5. Fifty years ago the average temperature for September was 72.5oF. Now the average temperature for
September is 75oF. What is the rate of change in temperature per year for September?
6. Michael started a savings account with $300. After 4 weeks, he had $350 and after 9 weeks, he had $400.
What is the rate of change of money in his saving account per week?
7. A plane left Chicago at 8:00 a.m. At 1:00 p.m. the plane landed in Los Angeles, which is 1500 miles away.
What was the average speed of the plane for the trip?
8. After 30 baseball games, A-Rod had 25 hits. If after 100 games he had 80 hits, what is his average hits per
baseball game?
9. Use the graph below to answer the following questions.
a. Plot a point in quadrant II and label it A.
b. What are the coordinates of point A?
c. Plot a point B so that the rate of change between point A and point
B is
1
.
4
d. What are the coordinates of point B?
10. Use the graph below to answer the following questions.
a. Plot a point in quadrant IV and label it M.
b. What are the coordinates of point M?
c. Plot a point N so that the rate of change between point M and
point N is −3 .
d. What are the coordinates of point N?