Math

QuestionCrystal Tunes has 7.2M subscribers gaining 1.7M/month. Mad Musik has 26.8M losing 1.1M/month. When will they equal subscribers? months

Studdy Solution

STEP 1

Assumptions1. Crystalunes currently has7. million subscribers and is gaining1.7 million subscribers each month. . Mad Musik currently has26.8 million subscribers and is losing1.1 million subscribers each month.
3. These trends continue indefinitely.

STEP 2

First, we need to set up an equation that represents the number of subscribers for each music streaming site over time. Let's denote the number of months as xx.
For CrystalunesCT=7.2+1.7xCT =7.2 +1.7xFor Mad MusikMM=26.81.1xMM =26.8 -1.1x

STEP 3

To find out when the two streaming sites will have the same number of subscribers, we need to set these two equations equal to each other and solve for xx.
7.2+1.7x=26.81.1x7.2 +1.7x =26.8 -1.1x

STEP 4

Combine like terms.
1.7x+1.1x=26.87.21.7x +1.1x =26.8 -7.2

STEP 5

Calculate the left side of the equation.
2.8x=26.87.22.8x =26.8 -7.2

STEP 6

Calculate the right side of the equation.
2.8x=19.62.8x =19.6

STEP 7

To solve for xx, divide both sides of the equation by2..
x=19.62.x = \frac{19.6}{2.}

STEP 8

Calculate the value of xx.
x=19.62.8=7x = \frac{19.6}{2.8} =7Therefore, it will take7 months for the two streaming sites to have the same number of subscribers.

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