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Question

Lampard has a phone plan that costs a monthly rate of 50forthefirst1,000minutesplus0.25 for each additional minute. Determine the appropriate function which models Lampard's plan for all m > 1,000, with m as the number of minutes per month and f(m) as the monthly charge.

A
f(m) = 0.25m
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B
f(m) = 0.25m + 50
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C
f(m) = 0.25m-200
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D
f(m) = 0.25m-950
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Solution

The correct option is C f(m) = 0.25m-200
According to the plan the cost of first 1000 minutes is $50
if the m>1000 then $0.25 for additional minutes
As m is the number of minutes per month and m>1000 so
f(m)=.25(m1000)+50
f(m)=.25m250+50
f(m)=.25m200

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