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

Question

18 days 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 [9K] · Answer 1 · 2026-03-10T05:04:43+03:00

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.