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algol13
2 months ago
10

A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

been downloading at a rate of .01GB/min. Write an inequality that represents at least how many minutes (m) it will take to download the whole game.
Mathematics
1 answer:
zzz [12.3K]2 months ago
6 0

Answer:

0.01m +\frac{1}{2} \geq 2.2

Step-by-step explanation:

Let m denote the number of minutes required to download the entire game.

The computer downloads at a speed of 0.01 GB per minute, and since half a gigabyte has already been downloaded, we can express this as 0.01*m + 0.5 equaling 2.2, as the game's total size is 2.2 GB.

We will determine the minimum number of minutes necessary to completely download the game.

0.01m +\frac{1}{2} \geq 2.2

0.01m +0.5\geq 2.2

0.01m \geq 2.2-0.5

0.01m \geq 1.7

m\geq \frac{1.5}{0.01}

Thus, 0.01m +\frac{1}{2} \geq 2.2 represents our sought inequality.



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