This task requires students to use the fact that on the graph of the linear function h(x)=ax+b, the y-coordinate increases by a when x increases by one. Specific values for a and b were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.

This task gives a variet of real-life contexts which could be modeled by a linear or exponential function. The key distinguishing feature between the two is whether the change by equal factors over equal intervals (exponential functions), or by a constant increase per unit interval (linear functions).

The coffee cooling experiment is a popular example of an exponential model with immediate appeal. The model is realistic and provides a good context for students to practice work with exponential equations.

The purpose of this task is to give students an opportunity to explore various aspects of exponential models (e.g., distinguishing between constant absolute growth and constant relative growth, solving equations using logarithms, applying compound interest formulas) in the context of a real world problem with ties to developing financial literacy skills.

The task provides an opportunity for students to engage in Mathematical Practice Standard 4: Model with mathematics.

The context of this task is a familiar one: a cold beverage warms once it is taken out of the refrigerator. Rather than giving the explicit function governing this warmth, a graph is presented along with the general form of the function. Students must then interpret the graph in order to understand more specific details regarding the function.

The purpose of this task is to give students experience modeling a real-world example of exponential growth, in a context that provides a vivid illustration of the power of exponential growth, for example the cost of inaction for a year.

This simple conceptual problem does not require algebraic manipulation, but requires students to articulate the reasoning behind each statement.

Three Weeks in March is a data-driven approach to modeling the spread of coronavirus cases in the United States.In this activity, students will use a difference equation to model day-to-day changes in the known cases of coronavirus within U.S. borders, as reported by the Centers for Disease Control and Prevention, during the first three weeks of March, 2020. The solution to this difference equation is an exponential model. The activity can serve as an introduction to exponential models.The main goals of this activity are to:Learn the idea of difference equation;Model exponential growth using a difference equation;Simulate exponential growth and estimate a parameter value using software.These resources were created by Dr. Rob Kipka of Lake Superior State University.

This task provides an opportunity for students to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

This task provides an opportunity for students to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

This task focuses on the fact that exponential functions are characterized by equal successive quotients over equal intervals. This task can be used alongside F-LE Equal Factors over Equal Intervals.

This task focuses on the fact that linear functions are characterized by constant differences over equal intervals. It could be used alongside to F-LE Equal Differences over Equal Intervals I & II.

These problems give students the opportunity to construct and compare linear, quadratic, and exponential models.