SOLUTION: Brady belongs to a music club so that he can purchase all of his favorite songs at a
discount. He spends $8.00 on each playlist he purchases and pays a one time flat fee of
$5.50
Algebra.Com
Question 1168225: Brady belongs to a music club so that he can purchase all of his favorite songs at a
discount. He spends $8.00 on each playlist he purchases and pays a one time flat fee of
$5.50 for membership.
a. What will the x variable stand for in this situation?
b. What does the y-variable stand for in this situation?
c. Find an equation that models this situation.
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
Let's break down this situation to define the variables and create an equation.
**a. What will the x variable stand for in this situation?**
The $x$ variable typically represents the **independent variable**, which is the factor that is being changed or controlled in the situation. In this case, Brady's total cost depends on **how many playlists he purchases**.
Therefore, the $x$ variable will stand for:
* **The number of playlists Brady purchases.**
**b. What does the y-variable stand for in this situation?**
The $y$ variable typically represents the **dependent variable**, which is the outcome or result that is being measured and changes in response to the independent variable. In this case, the total amount Brady spends depends on the number of playlists he buys.
Therefore, the $y$ variable will stand for:
* **The total amount of money Brady spends.**
**c. Find an equation that models this situation.**
To create the equation, we need to consider the different costs involved:
* **Cost per playlist:** $8.00
* **One-time membership fee:** $5.50
The total amount Brady spends ($y$) will be the sum of the cost of all the playlists he purchases and the one-time membership fee. If Brady purchases $x$ playlists, the total cost of the playlists will be $8.00 \times x$.
Therefore, the equation that models this situation is:
$y = 8.00x + 5.50$
Where:
* $y$ = the total amount of money Brady spends
* $x$ = the number of playlists Brady purchases
* $8.00$ = the cost per playlist
* $5.50$ = the one-time membership fee
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