Create your own scenario in which you can compare the cost fortwo choices for the same service.
You will need to create two equations, each of which shouldinclude::
1. fixed cost
2. variable cost
Then write an inequality to compare the two choices and solveit. Interpret your solution to further explain your comparison.Below is an example that you may use as a model to help you developyour own scenario.
I am trying to decide whether to install a solar energy systemor replace my existing gas system. The solar system will cost$20,000 to install but only $25 per month. The equation for thetotal cost is Solar Cost = 25x + 20000 where x is the number ofmonths. The gas system will only cost $5,000 to install but willcost $125 per month. The equation is Gas Cost = 125x + 5000. Tofind out how long I need to live in my home for the solar to bemore cost effective, I need to solve the following inequality: 25x+ 20000 < 125x + 5000. When I solve the inequality, x > 150.That means I need to live in the house longer than 150 months, or12.5 years, for the solar system to be a better deal.
