Linear Function Word Problems

Last updated about 1 year ago
8 questions
Do Now: Slope Steepness
1

Slope Steepness Activity

Graph each of the lines. What do you notice?

Linear Function Word Problems
2
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: _______
3

Match the scenario with its linear equation.

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

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

What is the correct slope?

4
Determine which of the equations could be represented by the graph.

a. _______

b. _______

c. _______

d. _______
1

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