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You are trying to decide which of the two smartphones plans would be better. Plan A charges a basic fee of $30 per month and 10 cents per text message. Plan B charges a basic fee of $50 per month and 5 cents per text message.

How many text message would you need to send per month for plan B to be the better option? Explain your decision.

I also need to see work. Equations, everything that you would need to solve. Thanks!

Answer :

Answer:

We need to send more than 400 messages for Plan B to be the better option.

Step-by-step explanation:

Plan A

The cost is a flat fee of 30 plus 10 cents per message

Cost= 30 +.10m

Plan B

The cost is a flat fee of 50 plus 5 cents per message

Cost = 50 +.05m

We want cost of B to be less than cost A

30 +.10m > 50 +.05m

Subtract .05m from each side

30 +.10m- .05m > 50 +.05m-.05m

30 +.05m > 50

Subtract 30 from each side

30-30 +.05m > 50-30

.05m > 20

Divide each side by .05

.05/.05m > 20/.05

m > 400

We need to send more than 400 messages for Plan B to be the better option.

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