Question

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Answer 1

Cameron's current service charge of $0.95 per song, and the new service charge of $0.89 per song and $12 fee for joining, gives;

• Formula for finding the number of songs that makes the cost of both services the same is; 0.95•s = 12 + 0.89•s

• Computing the value of s that satisfies the above equation gives the number of songs at which the cost of both service is the same as 200 songs

• The interpretation is the the cost of either service is the same when 200 songs are downloaded

How can the equation that gives the required number of songs be found?

To Formulate

The charges for songs on the current music service is, C1 = 0.95•s

The charges for the new download service is, C2 = 12 + 0.89•s

Where the $12 is the joining fee

When the cost is the same for both service, we have;

C1 = C2

Which gives;

• 0.95•s = 12 + 0.89•s

The equation to represent when the cost for both service is the same is therefore;

0.95•s = 12 + 0.89•s

Computing;

The number of songs that gives the same costs is therefore;

0.95•s = 12 + 0.89•s

12 = 0.95•s - 0.89•s = 0.06•s

s = 12 ÷ 0.06 = 200

• The number of songs at which the cost of each option will be the same is s = 200 songs

Interpreting the solution;

The interpretation is, the cost of songs downloaded on both service will be the same, when 200 songs are downloaded.

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