SOLUTION: Jovanna gives a walking tour of a popular tourist city to one person for $43. To increase her business, she would lower the price by $2 per person for each additional person. Wri

Question 881173: Jovanna gives a walking tour of a popular tourist city to one person for $43. To increase her business, she would lower the price by $2 per person for each additional person. Write the cost per person (c) as a function of the number of people (n) on the tour. How much does she make for a tour with 7 people?
A) Write the cost per person c as a function of the number of people n on tour
B) How much does she make for a tour with 7 people?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jovanna gives a walking tour of a popular tourist city to one person for $43. To increase her business, she would lower the price by $2 per person for each additional person.
A) Write the cost per person c as a function of the number of people n on tour
c(1) = 43
c(2) = 43 + 41
c(3) = 43 + 2(43-2*2)
c(4) = 43 + 3(43-3*2)
..............................
c(n) = 43 + (n-1)(43-(n-1)2)
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B) How much does she make for a tour with 7 people?
c(7) = 43 + 6(43-6^2) = 43 + 6*31 = 43 + 186 = $229
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Cheers,
Stan H.
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