(Originais Teachy 2023) - Question Medium of Mathematics

A telecommunications company offers an internet plan that charges a fixed monthly fee and an additional fee per gigabyte used. The mathematical expression that describes the monthly cost (C) as a function of the gigabytes used (G) is given by C = 50 + 10G. A customer wants to calculate how much they will pay at the end of a month in which they used 35GB of internet. Additionally, the customer is working on a geography project that requires downloading files with maps in digital format. Each map has a size of 0.5GB, and the customer needs to download 8 different maps. Considering the customer's situation and the company's monthly cost function, answer: 1. What will be the total cost for the customer at the end of the month, considering internet usage and downloading the maps? 2. How does the variation in the number of gigabytes used affect the monthly cost for the customer? Discuss possible implications of this relationship in terms of consumption choices and personal financial planning.