Cameron pays $0.95 per song with his current music service. A new music download service charges $0.89 per song with a $12 joining fee. Should Cameron switch to the new service ? Write an equation to represent when the cost for any number of songs ,s, is the same for both services.

The correct answer is: Cameron should switch to the new music download service provider if he plans on listening more than 200 songs as that would be cheaper. Also, the equation to represent when the cost for any number of songs ,s, is the same for both services is- 0.95x = 0.89x + 12.

Step-by-step solution:-
Let the number of songs that Cameron listens to be x.
From the given information, we get-
Service charge for current music service = $ 0.95 per song.
Service charge for new music download service = $ 0.89 per song.
Joining fees for new music download service = $ 12.
Now, we know that-
Total cost for current music service = Number of songs listened to × Service charge per song
∴ Total cost for current music service = x × 0.95
∴ Total cost for current music service = 0.95x ................................................................................... (Equation i)
Also,
Total Service charge for new music service = Number of songs downloaded × Service charge per song
∴ Total Service charge for new music service = x × 0.89
∴ Total Service charge for new music service = 0.89x ........................................................................ (Equation ii)
Total cost for new music music download service = Joining fees + Total Service charge
∴ Total cost for new music music download service = 12 + 0.89x .................. (From Equation ii & given information)
∴ Total cost for new music music download service = 0.89x + 12 .................................................... (Equation iii)
To find the value of x, we solve the equations for the total cost of both the situations together-
Total cost of current music service = Total cost of new music download service
                                                                                     ∴ 0.95x = 0.89x + 12 ........................................ (From Equations i & iii)
                                                                                      ∴ 0.95x - 0.89x = 12 ........................................... (Taking all variables and constants on                                                                                                                                                                                               either side of the equation)
                                                                                           ∴ 0.06x = 12
                                                                                          ∴ x = 12/0.06 ............................................ (Dividing both sides by 0.06)
                                                                                             ∴ x = 200
Substituting x = 200 in equation i & iii, we get-
Total cost for current music service = 0.95x …............................................... (Equation i)
∴ Total cost for current music service = 0.95 × 200
∴ Total cost for current music service = 190 ................................................... (Equation iv)
Total cost for new music music download service = 0.89x + 12 .................................................... (Equation iii)
∴ Total cost for new music music download service = (0.89 × 200) + 12
∴ Total cost for new music music download service = 178 + 12
∴ Total cost for new music music download service = 190 ............................... (Equation v)
From Equations iv & v, we get-
Cost of renting songs through current service is the same as cost of downloading songs from the new service provider for 200 songs.
However, if Cameron plans on listening more than 200 songs then he should go for the new music download service provider as that would be cheaper.
Final Answer:-
∴ Cameron should switch to the new music download service provider if he plans on listening more than 200 songs as that would be cheaper. Also, the equation to represent when the cost for any number of songs ,s, is the same for both services is-
0.95x = 0.89x + 12.

A service charge is a fee for services related to the primary product or service purchased. The cost charged is applicable at the time of transaction takes place. Many industries, including restaurants, banking, travel, and tourism, charge service fees. These fees may cover consumer services and administrative or processing costs when collected. Service charges are mandatory charges that are paid directly to the company. They are different from tips delivered to the employee who provides the service. The customer is entirely responsible for tipping and the amount. These are extra fees associated with the purchase of a product or service. They typically charge during the transaction between the consumer and the company.