Pay attention to the given model to set up an equation.
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Practice makes perfect
We are told that a website allow musicians to upload their songs by paying a one time fee of $5. Then, each time their songs are downloaded, the musician earns $0.09. To find how many times was a song downloaded if a musician earned $365 we will start by analyzing the given model.
How Can the Model Help?
The given model show us two rectangles with the length of each one representing 0.09x and -5, respectively.
The variable x represents the number of times the song was downloaded and -5 represents the one-time fee. Additionally, the total length of the figure is indicated to be 365, representing the total earnings.
Operations
We can see from the model that the total length can be obtained by adding the lengths of each individual rectangle. Using this information, we have that the total earnings can be obtained by adding 0.09x + (-5). Then we have the following equation.
0.09x+(-5)=365
We can now proceed to solve for x using inverse operations and the Properties of Equality.
