Modeling with two-variable equations and graphs

The  exercise appears under the Algebra I Math Mission. This exercise uses context-driven real-life examples to stress the importance of being able to determine reasonable bounds for variables.

Types of Problems
There are two types of problems in this exercise:


 * 1) Use the information to determine reasonable range: This problem describes a situation and asks some questions about it. The student is expected to decide which axis a variable should be graphed on, and a reasonable range for that variable.Mwtveag1.png
 * 2) Write an equation from the information: This problem provides a word problem. The student is expected to read the situation and write an equation the models the situation.Mwtveag2.png

Strategies
Confidence with word problems and an ability to visualize graphs would ensure success on this exercise.
 * 1) The models in these problems are involved so to ensure accuracy one should be patient and check answers carefully before submission.
 * 2) Questions recycle at a decent clip, so keeping track of answers might be useful to help with efficiency.

Real-life Applications

 * 1) These problems are word problems and context-driven examples.
 * 2) An ability to create a good model is important in science and business fields.