contestada

Cameron pays $0.95 per song with his current music service. Cameron's friend tells him of another service that has a $15 joining fee but charges $0.80 per song. At what number of songs does this new service become a less expensive option than Cameron's current service?

Respuesta :

bradnorris03

Answer:

101 Songs

Step-by-step explanation:

At 100 songs, both service will equal the same amount:

NEW SERVICE- 15+0.8(100)= $95.00

OLD SERVICE- 0.95(100)= $95.00

After 1 more song the new service becomes less expensive:

NEW- 15+0.8(101)=$95.80

OLD- 0.95(101)=$95.95

fichoh

For new service to be less expensive, Number of songs would be 101

Let number of songs = x

For his current service :

Cost = 0.95x - - - (1)

For the new service :

Joining fee + cost per song

Cost = 15 + 0.80x ---(2)

For new service to be less expensive :

Equate (1) and (2)

0.95x = 15 + 0.80x

0.95x - 0.80x = 15

0.15x = 15

x = 100 songs

For new service to be less expensive, the number of songs will be above 100.

Hence, the next whole number after 100 is 101 songs

Hence, answer is 101

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