Flying twice as far A flight from Los Angeles to ABQ is about 2 hours but is 670.2 miles. A flight from San Jose to Chicago is 4 hours but is 1859.0 miles. Can anyone explain why the travel time from San Jose to Chicago is not longer and closer to 5.75 hours? If the distance increase by 2, shouldnt the time increase by a factor of 2 as well? 1. Write a linear model for this question. Takeoff and landing will take a fixed amount of time. Actual travel in the air will take time proportional to the distance traveled. Think about which of the variables (time and distance) is the independent variable, and identify the slope and intercept with their units. 2. Use the data in the quotation to estimate the two constants in your linear model.
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.
Flying twice as far
A flight from Los Angeles to ABQ is about 2 hours but is 670.2 miles.
A flight from San Jose to Chicago is 4 hours but is 1859.0 miles.
Can anyone explain why the travel time from San Jose to Chicago is not
longer and closer to 5.75 hours?
If the distance increase by 2, shouldnt the time increase by a factor
of 2 as well?
1. Write a linear model for this question. Takeoff and landing will take a fixed amount of time. Actual
travel in the air will take time proportional to the distance traveled. Think about which of the
variables (time and distance) is the independent variable, and identify the slope and intercept with
their units.
2. Use the data in the quotation to estimate the two constants in your linear model.
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