Section 5.6 Word Problems
Problem 1: The parabolic path of an aircraft is used to simulate weightlessness can be
represented by the quadratic equation
h(t) = -10t^2 + 300t + 9750, where h(t) is the altitude of the aircraft, in meters, and t is
the time, in seconds, since weightlessness was achieved.
a) Determine the maximum altitude reached by the aircraft
b) The number of seconds the aircraft takes to reach its maximum altitude after
weightlessness is achieved
c)The altitude of the aircraft when weightlessness is first achieved
d)The number of seconds the simulation of weightlessness lasts, if weightlessness is lost
at the same altitude as it is achieved
Problem 2: Find two numbers whose different is 8 and whose product is a minimum.
Problem 3: Find two numbers those sum is 34 and whose product is a maximum
Problem 4: A rectangular field is to be enclosed by the 400m of fence.
a) What dimensions with give a maximum area?
b) What is the maximum area?
Problem 5: A theatre company has 300 season ticket subscribers. The board of directors
has decided to raise the price of a season ticket from the current price of $400. A survey
of the subscribers has determined that every $20 increase in price, 10 subscribers would
not renew their season tickets. What price would maximum the revenue from season
tickets?