Direct Variation/Rate of Change/Finding Slope

 y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?

• y = (21/4)x
• k= 21
• k= 5.25
• k= 4/21

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2
• $308
• $1.57
• $265

Is the given table a direct variation? If so, what is the constant?

• Yes; 1/4
• Yes; 4
• Yes; 2
• No

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

Is this a direct variation?
y=2x

• yes
• no

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Find the slope of the line.

• 4/3
• -4/3
• 3/4
• -3/4

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

Which statement below accurately represents the graph?

• $100 is earned for each hour worked
• $100 is earned for every 2 hours worked
• $500 is earned for every 8 hours worked
• $200 is earned for every 3 hours worked

Tags

CCSS.HSF.LE.B.5

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