How can real-life problems involving options and trends be modeled and solved?
Solve real-life math problems! Learn to compare costs, calculate profit, and make smart choices with options and trends.
SITUATION 1. During the pandemic, sisters Mary and Karen decided to go online selling extra. Mary is selling mango drinks; Php 6 for a 100ml drink and spend Php 250 as capital.Karen is selling lemonade at Php 8 for every 200 ml drink and spend 120 as capital. If Mary sells 6 liters in the middle of the week, who made a greater profit? Who has a greater profit at the end of the week if Mary sold 10 liters of mango drinks and Karen sold 9 liters of lemonade? What information are needed to solve the problem? Justify your answer by showing a solution. SITUATION 2. Minor repairs need to be made in your school laboratories to maintain its functionality while in lock down. The outsource company proposes these two payment options for you to choose from;Option A: Php 600 for the first 3 days and decreased by Php 20 every succeeding day after.Option B: Php 620 for the first 2 days and decreased by Php 50 every succeeding day after. Which option is cheaper? Up to how many days of work will it come out to be cheaper? Which option is better if the work will be completed in a week’s time? What information are needed to solve the problem? Justify your answer by showing a solution. SITUATION 3. Ben has to choose a better student communication plan from the following choices offered by 3 different network companies;A. Globe –Php 500 fixed payment with unlimited FB. 40 Gigabytes free data and charging Php 6.50 for every excessB. Smart- Php 450 fixed payment with unlimited FB. 35 Gigabytes free data and charging Php 6.50 for every excessC. Sun – Php 400 fixed payment with unlimited FB. 30 Gigabytes free data and charging Php 6.50 for every excess Which is a better package if Ben’s maximum usage 60 Gigabytes? Will this decision be affected if his usage is 90 Gigabytes? What information are needed to solve the problem? Justify your answer by showing your solution. What are the common ideas applied? How can real-life problems involving options and trends be modeled and solved? Real-life problems using trends and options are modeled and solved by: