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 2.5 million and there are 1235 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 3.8 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 2.5 million and there are 1235 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 3.8 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
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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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.(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 2.5 million and there are 1235 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 3.8 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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