Question

Kristy gives a walking tour of a popular tourist city to one person for $ 46. 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 19 ​people?

Answer 1

$ 532

Step-by-step explanation:

C= cost per person

N= number of people

TC= total cost

TC= ( 46 * N ) - ( N * ( N - 1 ) )

C= ( 46 * N ) - ( N * ( N - 1 ) )

N

TC = ( 46*19 ) - ( 19 * ( 19-1 ) )

TC = ( 874 ) - ( 19 * 18 )

TC = 532

Total Cost for 19 people : $ 532

N° $

1 46

2 44

3 42

4 40

5 38

6 36

7 34

8 32

9 30

10 28

11 26

12 24

13 22

14 20

15 18

16 16

17 14

18 12

19 10

Total: 532