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
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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 2.3 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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