Week 6 Discussion Rational functions can show up in surprising places. For example, when you are finding the average, you are actually using a rational function! total A = verage number Or in math speak, 1' I I = fl Often when making an expensive purchase we look at the total cost and whether we are willing to pay it. Another way to consider this is to nd the average cost per month to see if it is in your budget. A common example would be when you renew the contract on your cell phone. Often we buy a new phone at the same time, and you can either pay it up front or have it added to your monthly bill. If you pay for the device up front, you can use the following function to model the monthly cost, where m is the number of months you plan on owning the device. Device'ost + {Monthtytiijm 012"!) = f Do some research to nd the cost of a device you want to buy, and either your actual monthly bill or an advertised monthly bill. Using these numbers, give us the function you would use to model the monthly cost. Based on the asymptotes, what would be the minimum monthly average cost for this phone and plan? Explain how you got your answer. What would be the average cost if you replace the phone after 2 years (24 months)? Does this make you reconsider the price of the phones you buy? Compare your classmates functions to your own. Do you think it's the cost of the phone or the monthly cost of the phone plan that makes the most difference\