Modeling with Functions

Multiple Choice

At 60 seconds, how far had this object traveled? 

• 0 m
• 10 m
• 20 m
• 40 m

Multiple Choice

What should be the title for this graph?

• Number of Favorite Cartoon Chracters

• How does the Cartoon Character affect the Number of People?

• Characters vs. Number of People

• Number of People vs. Character

Multiple Choice

Name the INDEPENDENT variable from the table below.

• words
• minutes

Multiple Choice

What type of graph is this?

• Bar Graph
• Line Plot
• Pictograph
• Tally Chart

Open Ended

How can identifying the relationship between two changing quantities help you in predicting future trends?

Multiple Choice

Which of the following best describes a function in mathematics?

• A measurable or countable thing

• A symbol that represents an unknown quantity

• How one quantity changes with another

• A rule that assigns exactly one output value to each input value

Open Ended

Explain the difference between an independent variable and a dependent variable using the plant growth example.

Open Ended

Based on the plant growth example and the graph, how would you determine if a relationship is linear or exponential?

Multiple Choice

Which keywords indicate exponential growth in a scenario?

• Each, Every, Constant rate

• Doubles, Triples, Percent increase

• Per, Constant rate

• Linear, Constant

Multiple Choice

Read the following scenario: 'A bacteria culture doubles in size every hour.' Is this relationship linear or exponential?

• Linear

• Exponential

• Quadratic

• Constant

Multiple Choice

What is the total amount saved after 2 months if you save $50 per month?

• $50

• $100

• $150

• $200

Multiple Choice

How does the table in Step 3 relate to the graph in Step 4?

• The table shows the equation, and the graph shows the word problem.

• The table lists values that are plotted as points on the graph.

• The table is unrelated to the graph.

• The table shows only the starting value.

Open Ended

Describe the process for turning a word problem into an equation, as shown in the images.

Multiple Select

Which of the following are components of the exponential function y = a · (1 + r)^x?

• a: Starting amount

• r: Growth rate (decimal)

• x: Time

• m: Rate of change

Multiple Choice

Given an initial population of 500 and a population of 4000 after 3 hours, what type of mathematical model best describes this growth?

• Linear

• Exponential

• Quadratic

• Logarithmic

Open Ended

How would you use the process of modeling with functions to solve a real-world problem you encounter?

Open Ended

Explain how you would classify a real-world relationship as linear or exponential, and provide an example for each type.

Multiple Choice

Which skill do you feel most confident about after today's lesson on modeling with functions?

• Identifying changing quantities in word problems

• Determining if a relationship is linear or exponential

• Creating tables and graphs

• Writing algebraic functions

• Interpreting functions to predict trends

Multiple Choice

Which step is necessary to model a real-world scenario mathematically, according to the lesson?

• Identify the variables and the type of relationship

• Build a table of values for at least 4 data points

• Write the function that models your problem

• All of the above