SOLUTION: In 1927, Charles Lindbergh made history by making the first transatlantic flight from New York to Paris. It took Lindbergh approximately 33.5 hours to make the trip. In 1997, the C

Question 519936: In 1927, Charles Lindbergh made history by making the first transatlantic flight from New York to Paris. It took Lindbergh approximately 33.5 hours to make the trip. In 1997, the Concorde could make the trip in approximately 3.3 hours. Write a linear equation of the time, in hours, it takes to cross the Atlantic in terms of the year. Use your equation to predict how long a flight between the two cities would have taken in 1967. Round your answer to the nearest tenths. On the basis of your answer do you think a linear model accurately predicts how the flying time between New York and Paris has changed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
flight from New York to Paris. It took Lindbergh approximately 33.5 hours to make the trip. In 1997, the Concorde could make the trip in approximately 3.3 hours. Write a linear equation of the time, in hours, it takes to cross the Atlantic in terms of the year. Use your equation to predict how long a flight between the two cities would have taken in 1967. Round your answer to the nearest tenths. On the basis of your answer do you think a linear model accurately predicts how the flying time between New York and Paris has changed?
:
Let 1927 = 0, then 1997 = 70
:
Assign the values as follows
x1 = 0, y1 = 33.5
x2 =70, y2 = 3.3
:
Find the slope (m): = =
Write an equation using the point/slope form
y - 33.5 = (x - 0)
y = x + 33.5
:
"predict how long a flight between the two cities would have taken in 1967."
x = 40
y = (40) + 33.5
y = 16.2 hrs to cross the Atlantic in 1967
:
No, assuming about 3600 mi from NY to Paris, Lindberg's speed was about 107 mph, In 1967 the Boeing 707 was flying to Europe at around 500 mph, making this trip in a little over 7 hrs, much less than the graph predicts

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