crystal tunes and mad musik are competing music streaming sites. crystal tunes currently has 7.2 million…

crystal tunes and mad musik are competing music streaming sites. crystal tunes currently has 7.2 million subscribers and has been gaining 1.7 million subscribers each month. mad musik currently has 26.8 million subscribers but has been losing 1.1 million subscribers each month. if these trends continue, how long will it take for the two streaming sites to have the same number of subscribers? simplify any fractions. months

crystal tunes and mad musik are competing music streaming sites. crystal tunes currently has 7.2 million subscribers and has been gaining 1.7 million subscribers each month. mad musik currently has 26.8 million subscribers but has been losing 1.1 million subscribers each month. if these trends continue, how long will it take for the two streaming sites to have the same number of subscribers? simplify any fractions. months

Answer

Explanation:

Step1: Set up equations

Let (x) be the number of months. For Crystal Tunes, the number of subscribers is (y_1 = 7.2+1.7x). For Mad Musik, the number of subscribers is (y_2=26.8 - 1.1x).

Step2: Set (y_1=y_2)

[ \begin{align*} 7.2+1.7x&=26.8 - 1.1x\ 1.7x+1.1x&=26.8 - 7.2\ 2.8x&=19.6 \end{align*} ]

Step3: Solve for (x)

(x=\frac{19.6}{2.8}=7)

Answer:

(7)