# Question #d8878

##### 1 Answer

#### Explanation:

Suppose that the number of months is

We can express the two situations as functions of

If Lauren were to subscribe to the music website, she'd have to pay

Mathematically, this is expressed as

But with this membership, Lauren would also need to pay an annual fee of

As a whole function, we can write this as

If Lauren downloads music without becoming a member, she'd have to pay

Similarly, this can be expressed mathematically as

Now, we need to find the number of months

Basically, we need to find the "meeting point" between these two functions.

So let's set the two functions equal to each other, i.e

Let's solve for

Therefore, Lauren would have to download music for