The cost, C dollars, of the premium for out of the country health insurance is given by the formula C = 13 + 1.5 days, where d is the number of days per trip, to a maximum of 17 days. a) What does each term on the right side of the equation represent? b) If a student goes on a backpacking trip and is out of the country for 10 days, how much will her premium be? c) A lady paid 34$ for health insurance on her trip. Substitute 34 for C in the equation and solve the equation for d to determine the length of her trip.

a) 13 is a fix cost of the insurance, that doesn't depend on the number of days, 1.5 is the cost for each day of insurance.

b) Cost C = 28

c) d = 14 days

Step-by-step explanation:

a) The term 13 is the inicial value of the insurance, that is, it is a fix cost that does not depend on the number of days of the insurance. The term 1.5*d means that for every day of the insurance, the cost will increase by 1.5, that is, each day of insurance costs 1.5.

b) To find this cost, we just need to use d=10 in the equation:

C = 13 + 1.5*10 = 13 + 15 = 28

c) if the insurance costs 34, we use C = 34 in the equation to find the value of d (number of days):

34 = 13 + 1.5*d

1.5*d = 21

d = 21/1.5 = 14 days

The length of the trip is 14 days