An articlet 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 = CNO.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 2.4 million and there are 1234 gas stations in City A. Use this information to find the value of c. (Round your answer to two decimal places.) с 3 (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 articlet 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 = CNO.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 2.4 million and there are 1234 gas stations in City A. Use this information to find the value of c. (Round your answer to two decimal places.) с 3 (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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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![An articlet 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 = CNO.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 2.4 million and there are 1234 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffff266b4-c590-401f-bc1c-952fd326d219%2Ff4701a8e-8cfb-4c62-97c3-ac29e6a9f816%2Frrfjah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An articlet 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 = CNO.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 2.4 million and there are 1234 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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