Jane is planning a trip abroad. Her friend tells her about a formula that she can use to estimate the extra (hidden) costs, E, in pounds, involved in using a budget airline rather than a standard airline. The formula is E = 15l + 4h,
where l is the number of pieces of checked luggage that she wishes to take,and h is the number of flying hours for the round trip.
(i) Jane plans to fly from Manchester to Paris, around trip involving 2hours 55 minutes total flying time, and she would like to take one piece of checked luggage. Use the formula to find the extra cost involved in using a budget airline for such a trip.
(ii) Jane finds return flights advertised from Manchester to Paris costing £97 from a budget airline and £117 from a standard airline. Assuming that the formula holds, explain why she would be better off choosing the standard airline.
Airlines offer fares for adults, children and infants, where an adult
is anyone aged 12 years or over, and an infant is under 2 years old.
Let a represent the age of a child in years.
(1) Use a number line to represent the interval between the
lowest and highest ages for which a child fare applies.
(2) Give a double inequality to describe the age range for which
a child fare applies.