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

Tags

CCSS.8.EE.B.5

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

• True

• False

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.HSF-LE.A.1B

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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)

Tags

CCSS.HSF-LE.A.1B

• A

• B

• C

• D

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• A

• B

• C

• D

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6