Jovanna gives a walking tour of a popular tourist city to one person for $31. 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 16 people?

Question

Write the cost per person c as a function of the number of people n on the tour.

Answer 1

(n,c) ... (1,31)

cost per person (c) decreases by $2 for each additional person ... slope

c = - [2 (n - 1)] + 31

Answer 2

n = 16 people.
C = 31- 2(n-1) = 31 - 2(16-1) = 31 - 30 = $1.00 per person.
16 * 1 = $16. = Amt. made.