Linear Function Word Problems

Last updated over 1 year ago

8 questions

Do Now: Slope Steepness

Library

Linear Function Word Problems

Last updated over 1 year ago

8 questions

Do Now: Slope Steepness

Slope Steepness Activity

Graph each of the lines. What do you notice?

Linear Function Word Problems

Modeling Real Life
A Linear Function r models the growth of your right index fingernail.
The length of the fingernail increases 0.7 millimeter every week. 
Your fingernail is currently 12 millimeters long.
Identify and interpret the slope and y-intercept of the function.
Slope: _______ 
Y-intercept: _______ 

Match the scenario with its linear equation.

Draggable item		Corresponding Item
Monthly $15 membership fee, $2 per meal		y=3x+5
$3 each ticket, additional $5 service fee		y=10x+5
Bicycle rental $5 plus $10 per hour		y=2x+15

Modeling Real Life
The function below represents the depth (in inches) of snow on the ground during a 9 hour snowfall, where t is the time (in hours) after the snowfall begins.


a. Graph the function and find its domain and range.
On your graph, be sure to label both axes!

Independent Variable: _______ 
Dependent Variable: _______ 

Modeling Real Life
The function below represents the height (in feet) of a paraglider x minutes from the time the paraglider begins to descend.

f(x) = −200x + 100

a. Graph the function and find its domain and range.
On your graph, be sure to label both axes!

Independent Variable: _______ 
Dependent Variable: _______ 

Error Analysis: A student calculated the slope of the line shown to be 2.

What is the correct slope?

Determine which of the equations could be represented by the graph.

a. _______ 

b. _______

c. _______ 

d. _______

Linear Function Word Problems

Linear Function Word Problems

Slope Steepness Activity

Graph each of the lines. What do you notice?

Match the scenario with its linear equation.

Error Analysis: A student calculated the slope of the line shown to be 2.

What is the correct slope?

Graph the four equations on the same coordinate plane.
Answers the questions directly on the screen.

Slope Steepness Activity

Graph each of the lines. What do you notice?

Match the scenario with its linear equation.

Error Analysis: A student calculated the slope of the line shown to be 2.

What is the correct slope?

Graph the four equations on the same coordinate plane.
Answers the questions directly on the screen.

Linear Function Word Problems

Linear Function Word Problems

Slope Steepness ActivityGraph each of the lines. What do you notice?

Match the scenario with its linear equation.

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?

Graph the four equations on the same coordinate plane.Answers the questions directly on the screen.

Slope Steepness ActivityGraph each of the lines. What do you notice?

Match the scenario with its linear equation.

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?

Graph the four equations on the same coordinate plane.Answers the questions directly on the screen.

Slope Steepness Activity

Graph each of the lines. What do you notice?

Error Analysis: A student calculated the slope of the line shown to be 2.

What is the correct slope?

Graph the four equations on the same coordinate plane.
Answers the questions directly on the screen.

Slope Steepness Activity

Graph each of the lines. What do you notice?

Error Analysis: A student calculated the slope of the line shown to be 2.

What is the correct slope?

Graph the four equations on the same coordinate plane.
Answers the questions directly on the screen.