Problem 156 - College Algebra Essentials

Question

Each group member should research one situation that provides two different pricing options. These can involve areas such as public transportation options (with or without discount passes), cellphone plans, long-distance telephone plans, or anything of interest. Be sure to bring in all the details for each option. At a second group meeting, select the two pricing situations that are most interesting and relevant. Using each situation, write a word problem about selecting the better of the two options. The word problem should be one that can be solved using a linear inequality. The group should turn in the two problems and their solutions.

Step-by-Step Solution

Answer

Two word problems related to different real-life pricing situations have successfully been researched, selected, formulated and solved using linear inequality.

Step 1: Research and Select Pricing Options

Research various real-life situations that provide two different pricing options which includes areas like public transportation options (with or without discount passes), cellphone plans, or long-distance telephone plans. After all group members have come up with one situation each, discuss the different scenarios and select the two pricing situations that are most interesting and relevant.

Step 2: Create Word Problems

Formulate a word problem for each of the two pricing situations selected. The word problem should involve a decision between two options, and that decision should be made through the use of a linear inequality.

Step 3: Solve the Word Problems

Solve the two problem scenarios using a linear inequality. Remember, the solution should show which option is better when solving the inequality.

Step 4: Review Word Problems and their Solutions

Revisit both word problems and their solutions. Ensure the problems are solvable by using a linear inequality and that the solutions are correct and logical. Make sure all the necessary details are provided in the problem for the solution.