You need to purchase a new cell phone plan. company a offers 700 minutes of talk time per month but they charge 15 cents for every minute you go over the 700 included minutes. company a will charge you $40 per month for this plan. company b offers 500 minutes of talk time per month, but they charge only 5 cents per minute for exceeding the 500 minutes. company b charges $50 per month for this plan. at what number of minutes per month would both plans charge the same amount?

Both plans would charge the same amount when 900 minutes per month are used.

Step-by-step explanation:

Plan A: 700 free minutes + 15 cents per minute over 700 ($40)

Plan B: 500 free minutes + 5 cents per minute over 500 ($50)

1 cent = 0.01$

15 cent = 0.15$

5 cents = 0.05$

The charges for x minutes (assumed x>700) for plan A will be

40+0.15(x-700)

The charges for x minutes (assumed x>500) for plan B will be

50+0.05(x-500)

To find the value of x where both charges are the same, we equate

Hence,both plans would charge the same amount when 900 minutes per month are used.

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