Ilya puts a recording of a song up for sale online. He receives 80% of the profit from wach download of the song. The song is available for download at $1.29. How many downloads would he need to earn atleast $10,000? Convert to a algebraic equality and solve.

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Explanation:

x = number of songs downloaded, some positive whole number

1.29x = money earned from downloading those x songs

We want that expression to be at least $10,000. So we want 1.29x to be either equal to 10,000 or larger than it.

The inequality to set up is

You can optionally erase the comma to get though I think the comma helps it be more readable.

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To solve that inequality, we divide both sides by 1.29; this is to undo the multiplication of 1.29 to x.

We round up to the nearest whole number.

So there needs to be at least 7752 downloads for the profit to be $10,000 or more.