What is the answer for question 8) ?

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P(n) = 20 + 0.10n

20 represents the $20 flat pay that Sagan receives weekly.

0.10 represents the $0.10 per subscriber that is added to Sagan's pay.

Q(n) = 30 + 0.05n

30 represents the $30 flat pay that the advertiser has offered to pay Sagan weekly.

0.05 represents the $0.05 per subscriber that the advertiser has offered to add to Sagan's pay.

If T(n) is the function representing Sagan's total weekly income, then

T(n) = P(n) + Q(n)

T(n) = 20 + 0.10n + 30 + 0.05n

T(n) = 50 + 0.15n

To find the number of subscribers that would make Sagan receive equal payments from the newspaper publisher and the advertiser, set the two functions equal to each other and solve for n.

P(n) = Q(n)

20 + 0.10n = 30 + 0.05n

20 + 0.10n + (-20) = 30 + 0.05n + (-20)

0.10n = 10 + 0.05n

0.10n + (-0.05n) = 10 + 0.05n + (-0.05n)

0.05n = 10

0.05n / 0.05 = 10 / 0.05

n = 200

Sagan would need **200 subscribers** to be paid the same amount by both the publisher and the advertiser.

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