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.   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  1.71   times as many gas stations.   b) The population of City A, is 2.4 million and there are 1239 gas stations in City A. Use this information to find the value of c. (Round your answer to two decimal places.) c = _______   City B has a population of about 3.6 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

Q: At a certain rate of compound interest, 1 will increase to 2 in a years, 2 will increase to 3 in b…

A: Let the compounded interest rate be x according to question 1(1+x)a=2            (1)…

Q: Find a logistic function that satisfies the given conditions: y = 33 20 (0, 11) -20 (-2, 1) 20 40 2

A:

Q: The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can…

A: First of all, differentiate p(x) w.r.t. x and get p '(x).A derivative of a function shows the…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: A park ranger is searching for bears in a region of the park where on average there are 12 bears per…

A: Introduction: It is given that there are 12 bears per square mile of the park. Further, the number…

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A: The median size of a new single-family house built in the United States is modeled by the equation…

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: The half-life of a certain radioactive substance is 5 days. There are 28.4 g present initially. a.)…

A:

Q: Experimentally, the number of bacteria in cultivation duplicates for each hour. If there are 1000…

A:

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

Q: In the circulatory system, red blood cells are constantly being destroyed and replaced. They carry…

A: Given system of difference equation is  Rt+1=1-fRt+MtMt+1=γfRt                            (i) Where…

Q: Suppose that 50,000 bacteria are in a dish and that the population grows continuously by 4% each…

A:

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: An engineer creates a model to predict the electric consumption of a household in summer in a day…

A: # consider a linear regression model  y=b0+b1*X  b0=23 hr  & b1=1.55 hr  then to find y at x=17…

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: Part (a):To compare the number of gas station.

Q: The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can…

A:

Q: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude…

A: We have to determine the relationship between the intensities of the two earthquakes .

Q: According to the Social Security Advisory Board, the number of workers per beneficiary of the Social…

A: Calculation:a)From the given, it is observed that the initial value is 3.3 and the constant…

Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Suppose that the number of a certain type of computer that can be sold when its price is P (in…

A: Given: number of a certain type of computer that can be sold when its price is P (in dollars) is…

Q: An ichthyologist has discovered that the weight of a certain species of fish is a power function of…

A:

Q: In 1991 it was estimated that there were about 100 breeding pairs of Northern Spotted Owls. It was…

A: Topic: population decline

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

A:

Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: We will use the given relation between population and gas station.

Q: During which interval is the following function increasing at the greatest average rate? -4 -2 O(-…

A: Here we have given a function. We have to find in which interval the function is increasing at…

Q: Suppose Bilbo Baggins is deciding on whether to buy a sword or a bag of golden cups. If he has a…

A:

Q: #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: On the basis of data for the years 1911 through 1991, the expected life span of people in a country…

A: First find the number of years x from 1908 to date of birth of the person 1966 than put that x in…

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: Let N be the population in millions and G be the number of gas stations in a city. Given that the…

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: A machine is now worth $153.500 and will be depreciated linearly over a 6-year period at which time…

A: The machine is following a linear depreciation. So the corresponding depreciation function will be…

Q: As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is…

A: the number of people with Alzheimer's disease in the USA ae 65 years and over is projected to be…

Q: On December 16, 1811, an earthquake occurred near New Madrid, Missouri, that temporarily reversed…

A:

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: It is give that population is N and G be the number of gas stations in a city related by G=cN0.77.…

Q: On the basis of data for the years 1911 through 1994, the expected life span of people in a country…

A: f(x) = 12.469 lnx +17.128x is the number of years from 1906 to person's birth year.expexted life…

Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

A: Given Data The function is E(x) =(0.001x-0.062)(-0.18x²+8.2x-200)   (a) Differentiate the above…

Q: (D) Use the model to estimate the year in which fossil fuel production will fall below 70% of total…

A:

Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: Suppose a marathon player covers 7 kilometers with a speed of 30 kilometer per hour in a race for…

A: Distance of one way trip is 7 km. Speed of a marathon player in one-way trip is 30 km per hour.…

Q: n the United States, the percentage of adults (age 20–74) classified as obese held steady through…

A:

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A:

Q: 9. The following table shows data for the cost of natural gas in Maryland (in dollars per Million…

A: Hello, Thanks for posting your question here.  Since you have posted a question with multiple…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A:

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: a 2012 article in the Los Angeles times reported that the number of weekly visits to Pinterests web…

A: The number of visitors in the year 2011 = 1.27 million Percentage increase = 2183% every year So the…

Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: given that G=cN0.77