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A phone company has two long distance calling plans. The first plan is $25 per month plus $0.01 per minute of long distance calling after the first 100 minutes. The second plan is $10 per month plus $0.05 per minute of long distance calling.
How many minute of long distance calls will it take for the plans to cost the same amount?

Respuesta :

Answer:

286 minutes

Step-by-step explanation:

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abbywarmuth

Answer:

Hello!

Let's call X to the number of minutes of long-distance calls you plan to make.

The cost of plan A is given by 25%2B0.05X

The cost of plan B is given by 5%2B0.12X

Plan B is advantageous when its cost is lower than plan A's. Therefore, we set the inequality

5%2B0.12X+%3C+25%2B0.05X

And then solve for X. This will give us the range of minutes for which B is more convenient.

Subtract 5 from both sides of the inequality to get:

0.12X+%3C+20%2B0.05X

Now subtract 0.05X:

0.12X+-+0.05X+%3C+20

0.07X%3C20

Finally, divide by 0.07 to get:

X+%3C+20%2F0.07

X++%3C+285.71

So plan B is advantageous if you plan to use less than 286 minutes of long distance calls.

I hope this helps!

Step-by-step explanation:

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