Complete Question:
A music website offering unlimited listening to subscribers charges a one time fee of $12 to join with an additional $6 per month usage fee.
Given that Anna wants to spend less than $60 for the subscription and only full month subscriptions are offered, what is the maximum number of months that Anna can subscribe?
Answer:
7 months
Step-by-step explanation:
Given
[tex]Initial =12[/tex]
[tex]Rate = 6[/tex]
Let the total charges for x months be y.
The equation is generated as:
[tex]y = Initial + Rate* x[/tex]
This gives:
[tex]y = 12 + 6* x[/tex]
[tex]y = 12 + 6x[/tex]
If Anna wants to spend less than $60.
Then the equation becomes:
[tex]y < 60[/tex]
Substitute: [tex]y = 12 + 6x[/tex]
[tex]12 +6x < 60[/tex]
Collect like terms
[tex]6x < 60 -12[/tex]
[tex]6x < 48[/tex]
Solve for x
[tex]x < 48/6[/tex]
[tex]x < 8[/tex]
This implies that she will spend for a maximum of 7 months (because 7 < 8)