An article† in The New York Times states, "The number of gas stations [in a city] grows only in proportion to the 0.77 power of population." This means that the approximate number G of gas stations in a city is a power function of the population N, and the power is k = 0.77. That is, G = cN0.77, where c is some (as yet) unknown constant. We measure N in millions (a) If one city is twice as large as another, how do the numbers of gas stations compare? (Round your answer to two decimal places) If one city is twice as large as another, it has about _________ times as many gas stations. (b) The population of City A, is 2.3 million and there are 1238 gas stations in City A. Use this information to find the value of c. (Round your answer to two decimal places.) c = (c) City B has a population of about 3.5 million. Using the value of c that you found in part (b), estimate the number of gas stations in City B. Round your answer to the nearest whole number. _________ gas stations
An article† in The New York Times states, "The number of gas stations [in a city] grows only in proportion to the 0.77 power of population." This means that the approximate number G of gas stations in a city is a power function of the population N, and the power is k = 0.77. That is, G = cN0.77, where c is some (as yet) unknown constant. We measure N in millions (a) If one city is twice as large as another, how do the numbers of gas stations compare? (Round your answer to two decimal places) If one city is twice as large as another, it has about _________ times as many gas stations. (b) The population of City A, is 2.3 million and there are 1238 gas stations in City A. Use this information to find the value of c. (Round your answer to two decimal places.) c = (c) City B has a population of about 3.5 million. Using the value of c that you found in part (b), estimate the number of gas stations in City B. Round your answer to the nearest whole number. _________ gas stations
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An article† in The New York Times states, "The number of gas stations [in a city] grows only in proportion to the 0.77 power of population." This means that the approximate number G of gas stations in a city is a power function of the population N, and the power is k = 0.77.
That is, G = cN0.77, where c is some (as yet) unknown constant. We measure N in millions
That is, G = cN0.77, where c is some (as yet) unknown constant. We measure N in millions
(a) If one city is twice as large as another, how do the numbers of gas stations compare? (Round your answer to two decimal places)
If one city is twice as large as another, it has about _________ times as many gas stations.
(b) The population of City A, is 2.3 million and there are 1238 gas stations in City A. Use this information to find the value of c. (Round your answer to two decimal places.)
c =
(c) City B has a population of about 3.5 million. Using the value of c that you found in part (b), estimate the number of gas stations in City B. Round your answer to the nearest whole number.
_________ gas stations
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