Linear Functions

All linear functions have which of the following?

• a non-constant average rate of change

• a constant average rate of change

• a positive y-intercept

• a positive slope

For the function $y\ =\ \frac{2}{7}x\ +\frac{1}{3}$   what is its average rate of change from x = 3 to x = 8?

•  $\frac{2}{7}$  

•  $\frac{13}{21}$  

•  $\frac{1}{3}$  

•  $\frac{1}{21}$  

What is the rate of change of the linear function shown on the graph grid to the right?

• 6

• 3/4

• -6

• -3/4

The population of a small town is given by the function p = 35t + 1450 , where t is the number of years since 2015. What would the town’s population be in 2020?

• 1485

• 1570

• 1625

• 1700

When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10 weeks. Which of the following functions accurately models the number of pounds, p, the baby weighs as function of the number of weeks, w, since it was born?

• 
  

  $p=8.5w+1.6$
  

• $p=1.6w+8.5$

• $p=\frac{w}{1.6}+1.8$

• $p=\frac{w}{8.5}+1.6$

Michelle is climbing a flight of stairs. She starts at a height of 25 feet above the ground and climbs upward at a rate of 2.4 feet per second. Write a linear function for Michelle’s height, h, as a function of the time, t, in seconds she has been climbing.

• h = 2.4t + 25

• h = 25t+ 2.4

• t = 2.4h + 25

• t= 25h + 2.4

which of the following is a linear graph?

• 
• 
• 
• 

Tags

CCSS.8.F.A.3

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2