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Kai signed up for a music service where there’s a a fixed cost for monthly membership and a cost per song downloaded. Her total cost per month is given by the equation c=1.5x+6.99 where x represents the number of songs she downloads and c represents the total cost in dollars and cents. What could the number 1.5 represent in the equation?

User Dan Belden
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2 votes

Answer:

The number 1.5 in the equation c=1.5x+6.99 represents the cost per song downloaded. In this case, Kai is being charged $1.5 for each song she downloads.

To understand this, let's break down the equation:

- The variable x represents the number of songs Kai downloads.

- The term 1.5x represents the cost of the songs she downloads. Since she is charged $1.5 per song, multiplying the number of songs by 1.5 gives us the total cost of the songs.

- The constant term 6.99 represents the fixed cost for monthly membership. This is the cost that Kai has to pay regardless of how many songs she downloads.

By adding the cost of the songs (1.5x) and the fixed monthly cost (6.99), we get the total cost per month (c) that Kai has to pay for using the music service.

For example, if Kai downloads 5 songs in a month, the cost of the songs would be 1.5 * 5 = $7.50. Adding the fixed monthly cost of $6.99, her total cost for that month would be $7.50 + $6.99 = $14.49.

So, in this equation, 1.5 represents the cost per song downloaded.

User Anku Singh
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