the number of commercial airline boarding on domestic flights increased steadily during the 1990s as shown in the table below. Let f(t) be number of commercial airline boardings on domestic flight (in millions) for the year that is t years since 1990. complete parts (a) thought (d) below. Number of Commercial Airlines Boardings on Domestic Flight Year Number of Boardings(million) 1991 452 1995 547 1997 599 1999 635 2000 666 a. what variable should be represented by the axes? what units should be displayed for the axes? what scaling should be used for the axes? b. find an equation of f. does your model fit the data well? c. use the model f to estimate the number of boarding in 2001. the actual number was 622 million. what is the error in your estimate? ( the error is the different between the estimated value and the actual value) d. the number of boarding in 2001 was low due to the terroist attacks on september 11,2001 by making the following assumption estimate the amount of money ailines lost in 2001 1. all trips were round trips 2. the average number of boarding for a round trip was four (two flights out, two back) 3. the average round-trip fare was 340
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
the number of commercial airline boarding on domestic flights increased steadily during the 1990s as shown in the table below. Let f(t) be number of commercial airline boardings on domestic flight (in millions) for the year that is t years since 1990. complete parts (a)
thought (d) below.
Number of Commercial Airlines Boardings on Domestic Flight
Year Number of Boardings(million)
1991 452
1995 547
1997 599
1999 635
2000 666
a. what variable should be represented by the axes?
what units should be displayed for the axes?
what scaling should be used for the axes?
b. find an equation of f. does your model fit the data well?
c. use the model f to estimate the number of boarding in 2001. the actual number was 622 million. what is the error in your estimate? ( the error is the different between the estimated value and the actual value)
d. the number of boarding in 2001 was low due to the terroist attacks on september 11,2001 by making the following assumption estimate the amount of money ailines lost in 2001
1. all trips were round trips
2. the average number of boarding for a round trip was four (two flights out, two back)
3. the average round-trip fare was 340
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