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Debora [2.8K]
3 years ago
6

A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

In both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when minutes talked m   < 600)

T   =  40   +   0.15 k           (when minutes talked  k   > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for  first 600 minutes = $0.05

The per minute cost after 600 minutes  = $0.15

Let us assume the number of minutes talked = m

<u>Case 1:</u><u> when the minutes talked is less than 600 minutes.</u>

Total Charges = Flat Fee  +  0.05 x ( the minutes talked)

or, T   = $10 + m ($0.05)

or T  = 10 + 0.05 m     (when m  < 600)

<u>Case 2:</u><u> when the minutes talked is more than 600 minutes.</u>

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee  + Charges for 600 minutes  +  0.15 x ( the minutes talked over 600)

or, T   = $10 + 600 ($0.05)  + k($0.15)

or T   =  10 + $30     +   0.15 k            (when k   > 600)

⇒  T   =  40   +   0.15 k            (when k   > 600)

Hence, in both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when m  < 600)

T   =    T   =  40   +   0.15 k            (when k   > 600)

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