Answer:
[tex]0.01m +\frac{1}{2} \geq 2.2[/tex]
Step-by-step explanation:
Let m be number of minutes it will take to download the whole game.
We are told that computer is downloading at a rate of 0.01 GB per minute and half GB game is already downloaded. So 0.01*m+0.5 will be equal to 2.2 as game size is 2.2 GB.
Let us find the least number of minutes it will take to download the whole game.
[tex]0.01m +\frac{1}{2} \geq 2.2[/tex]
[tex]0.01m +0.5\geq 2.2[/tex]
[tex]0.01m \geq 2.2-0.5[/tex]
[tex]0.01m \geq 1.7[/tex]
[tex]m\geq \frac{1.5}{0.01}[/tex]
Therefore, [tex]0.01m +\frac{1}{2} \geq 2.2[/tex] is our desired inequality.
It will take 110 minutes to download the whole game.
Given that a 2.2 GB game is being downloaded onto your laptop, and when you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB / min, to determine how many minutes it will take to download the whole game the following calculation must be carried out, through a linear function:
Therefore, it will take 110 minutes to download the whole game.
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