Find the Rate of Change/Slope from a Word Problem

What does "m" represent in y=mx+b?

• y-intercept

• slope

• mushroom

• nothing

Tags

CCSS.HSS.ID.C.7

Which of the following are ways to find the rate of change?

• change in y over change in x
• rise over run
• subtract y coordinates over subtract x coordinates
• all of the above

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

• 30

• 5

Tags

CCSS.HSS.ID.C.7

A man is climbing down from 100 feet high descending 30 feet per minute. What is the rate of change?

• -30

• 30

• 100

• -100

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?

• 50
• 125

Tags

CCSS.HSS.ID.C.7

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? 

• 200
• 150
• 300
• 75

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

A rocket is 1.5 miles above the Earth in 20 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

• 0.065 mps

• 0.361 mps

• 3.892 mps

• 4.145 mps

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

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? 

• 200
• 150
• 300
• 75

Tags

CCSS.HSS.ID.C.7

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

• the first hour to the second hour

• the second hour to the fourth hour

• the sixth hour to the eighth hour

• the eighth hour to the tenth hour

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

• 2/3 in.

• 2 in.

• 3 in.

• 6 in.

Tags

CCSS.HSF.IF.B.6