Let's denote the number of months from now as \( x \).
-
The number of subscribers for Crystal Tunes after \( x \) months will be: \[ 7.2 + 1.7x \]
-
The number of subscribers for Mad Musik after \( x \) months will be: \[ 26.8 - 1.1x \]
We want to find \( x \) when these two expressions are equal, that is: \[ 7.2 + 1.7x = 26.8 - 1.1x \]
Now, let's solve for \( x \):
-
First, add \( 1.1x \) to both sides: \[ 7.2 + 1.7x + 1.1x = 26.8 \] This simplifies to: \[ 7.2 + 2.8x = 26.8 \]
-
Next, subtract \( 7.2 \) from both sides: \[ 2.8x = 26.8 - 7.2 \] So: \[ 2.8x = 19.6 \]
-
Now, divide both sides by \( 2.8 \): \[ x = \frac{19.6}{2.8} \approx 7 \]
Thus, it will take approximately 7 months for Crystal Tunes and Mad Musik to have the same number of subscribers if the trends continue.