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QuestionMatthew pays \14monthlyand$1.50persong.Totalcostfor15songs?Costfor14 monthly and \$1.50 per song. Total cost for 15 songs? Cost for s$ songs?

Studdy Solution

STEP 1

Assumptions1. The monthly subscription cost for the music service is 14.Thecostpersongforofflinelisteningis14. The cost per song for offline listening is 1.503. Matthew downloads15 songs in a month4. The total cost is the sum of the subscription cost and the cost for downloaded songs

STEP 2

First, we need to calculate the cost for downloading songs. We can do this by multiplying the number of songs downloaded by the cost per song.
Cost for downloaded songs=Number of songs downloadedtimesCost per songCost\, for\, downloaded\, songs = Number\, of\, songs\, downloaded \\times Cost\, per\, song

STEP 3

Now, plug in the given values for the number of songs downloaded and the cost per song to calculate the cost for downloaded songs.
Cost for downloaded songs=15times$1.50Cost\, for\, downloaded\, songs =15 \\times \$1.50

STEP 4

Calculate the cost for downloaded songs.
Cost for downloaded songs=15times$1.50=$22.50Cost\, for\, downloaded\, songs =15 \\times \$1.50 = \$22.50

STEP 5

Now that we have the cost for downloaded songs, we can find the total cost Matthew has to pay in a month. This includes both the subscription cost and the cost for downloaded songs.
Total cost=Subscription cost+Cost for downloaded songsTotal\, cost = Subscription\, cost + Cost\, for\, downloaded\, songs

STEP 6

Plug in the values for the subscription cost and the cost for downloaded songs to calculate the total cost.
Total cost=$14+$22.50Total\, cost = \$14 + \$22.50

STEP 7

Calculate the total cost Matthew has to pay in a month.
Total cost=$14+$22.50=$36.50Total\, cost = \$14 + \$22.50 = \$36.50Matthew needs to pay $36.50 in a month in which he downloaded15 songs.

STEP 8

To generalize this for any number of songs ss downloaded, we can substitute ss into our formula for the cost of downloaded songs.
Cost for downloaded songs=stimes$1.50Cost\, for\, downloaded\, songs = s \\times \$1.50

STEP 9

Then, substitute this into our formula for the total cost.
Total cost=Subscription cost+Cost for downloaded songsTotal\, cost = Subscription\, cost + Cost\, for\, downloaded\, songsTotal cost=$14+stimes$.50Total\, cost = \$14 + s \\times \$.50So, if Matthew downloads ss songs in a month, he would have to pay 14+.50s14 +.50s dollars in that month.

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