Graphing Rate of Change

Find the slope of the line that passes through (10, -8) and
(1, 12).

• 20/9

• -20/9

• 4/9

• 9/4

"Slope" is just another word for rate of change. We tend to use this word when graphing the relationship between two quantities.

• True

• False

A climber is scaling a rock face. Two hours after starting his climb, he is at an altitude of 400 feet. After six hours, he is at an altitude of 700 feet. What is his average rate of change?

• 200 ft/hr

• 150 ft/hr

• 300 ft/hr

• 75 ft/hr

A scuba diver is 30 feet below the surface 10 seconds after she entered the water, and 100 feet below the surface after 40 seconds. What is this scuba diver's rate of descent? Round to the nearest hundredth.

• 2.33 ft/sec

• 0.45 ft/sec

• 2.50 ft/sec

• 3.14 ft/sec

A rocket is one mile above the earth 30 seconds after launch and five miles above the earth 2.5 minutes after launch. What is the rocket's rate of change in miles per second?

• 0.03 mi/sec

• 1.80 mi/sec

• 0.23 mi/sec

• 0.15 mi/sec

A chef weighed 145 lbs in 1986 and weighed 190 lbs in 2007. What was this chef's rate of change in weight?

• 2.14 lbs/year

• 11 lbs/year

• 4.1 lbs/year

• 0.24 lbs/year

Michael started a savings account. 4 weeks after starting this account, he had $300 dollars in it, and after 9 weeks, he had $400. What was the rate of change of money in his savings account over this time?

• $20/week

• $140/week

• $50/week

• $7.69/week

Which of the following is the correct equation to find rate of change?

• m=(y₂-y₁)/(x₂-x₁)

• m=(x₂-x₁)/(y₂-y₁)

• m=(y₂-x₂)/(y₁-x₁)

• m=(y₂+y₁)/(x₂+x₁)

• A

• B

• C

• D

• A

• B

• C

• D