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For the extra cost of feeding one additional person, given the formula Q = 15 + 0.5m, where Q is the total cost in Naira and m is the number of people.

Mathematics

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Answer

N0.50\text{N}0.50

Step-by-step solution

3 steps

The problem asks for the extra cost of feeding one additional person, given the formula Q=15+0.5mQ = 15 + 0.5m, where QQ is the total cost in Naira and mm is the number of people.

  1. Determine the cost for mm people.

    The cost for mm people is given by the formula:

    Qm=15+0.5mQ_m = 15 + 0.5m
  2. Determine the cost for m+1m+1 people.

    If one additional person is fed, the number of people becomes m+1m+1. The new cost, Qm+1Q_{m+1}, is:

    Qm+1=15+0.5(m+1)Q_{m+1} = 15 + 0.5(m+1) Qm+1=15+0.5m+0.5Q_{m+1} = 15 + 0.5m + 0.5
  3. Calculate the extra cost.

    The extra cost is the difference between the cost for m+1m+1 people and the cost for mm people:

    Extra Cost=Qm+1−Qm\text{Extra Cost} = Q_{m+1} - Q_m Extra Cost=(15+0.5m+0.5)−(15+0.5m)\text{Extra Cost} = (15 + 0.5m + 0.5) - (15 + 0.5m) Extra Cost=15+0.5m+0.5−15−0.5m\text{Extra Cost} = 15 + 0.5m + 0.5 - 15 - 0.5m Extra Cost=0.5\text{Extra Cost} = 0.5

    The extra cost of feeding one additional person is N0.50\text{N}0.50.

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