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Chase signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded. His total cost per month is given by the equation , where represents the number of songs he downloads and represents the total cost, in dollars and cents. What could the number . represent in the equation?The total cost per month assuming one song is downloaded.The cost to download songs.The change in the total cost for every one additional download.The base cost of the streaming service per month.
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Q. Chase signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded. His total cost per month is given by the equation , where represents the number of songs he downloads and represents the total cost, in dollars and cents. What could the number . represent in the equation?The total cost per month assuming one song is downloaded.The cost to download songs.The change in the total cost for every one additional download.The base cost of the streaming service per month.
- Understand Equation Components: Analyze the equation to understand what each term represents.The equation is a linear equation where is the total cost, is a constant, and is the variable term where is the number of songs downloaded.
- Analyze Constant Term: Consider the term in the context of the equation.Since is not multiplied by the variable , it does not change with the number of songs downloaded. This suggests that is a fixed cost, not dependent on the number of songs.
- Compare with Given Choices: Compare the term with the given choices to determine what it could represent.The term does not change with , so it cannot be the cost to download songs or the change in total cost for every additional download. It could be the base cost of the streaming service per month or the total cost per month assuming one song is downloaded.
- Check Total Cost Assumption: Determine if could be the total cost per month assuming one song is downloaded.If one song is downloaded, the cost would be , which is more than . Therefore, cannot be the total cost per month assuming one song is downloaded.
- Conclude Base Cost: Conclude what represents based on the process of elimination and the context of the equation.Since is a fixed cost and it is not the total cost for one song downloaded, it must represent the base cost of the streaming service per month.
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