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Streaming movies from Company A costs $3 per movie plus a monthly fee of $9. Streaming movies from Company B costs $4 per movie with no monthly fee. The monthly cost to stream movies depends on the number of movies, m streamed. Which inequality represents the situation when the monthly cost at Company A is less than the monthly cost at Company B?

Respuesta :

Answer: 9 + 3 m < 0 + 4 m  or  9 < m

Step-by-step explanation:

Here m represents the number of movies at which the monthly cost of the company A is less than that of company B.

For company A, The monthly cost = $ 9

And, cost per movie = $ 3 ⇒ Cost of m movies = 3 m

Therefore, total cost in company A for m movies = 9 + 3 m

Now, For company B, The monthly cost = $ 0

And, cost per movie = $ 4 ⇒ Cost of m movies = 4 m

Therefore, total cost in company B for m movies = 0 + 4 m

Thus, 9 + 3 m < 0 + 4 m

⇒ 9 < 4 m - 3 m

⇒ 9 < m

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