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The population ,P, of town Y since 1995 ...

The population ,P, of town Y since 1995 can be estimated by the equation `P=1.0635x+3,250`, where x is the number of years since 1995 and `0 le x le 20`. In the context of this equation, what does the number 1.0635 most likely represent?

A

The estimated population of town Y in 1995

B

The estimated population of town Y in 2015

C

The factor by which the population of town Y increased yearly

D

The factor by which the population of town Y decreased yearly

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The 2005 to 2015 population density of a certain town can be modeled by the equation d =21.3y +1,927.3 , where y represents the number of years since 2005 and d represent the population density .Which of the following best describes the meaning of the number 21,3 in the equation?

    A
    The estimated difference between the population density in 2005 and 2015.
    B
    The estimated increase in the population density each year.
    C
    The population density in 2005
    D
    The total population in 2005

  • The population, p of a town can be modeled by the equation P=750(1.15)^(d) , where d is the number of decades after the year 1980. Which of the following equations can be used to model the population of the town y years after 1980?

    A
    `P=750(4.046)^(y)`
    B
    `P=750(1.15)^(10y)`
    C
    `P=750(1.15)((y)/(10))`
    D
    `P=750(1.015)^(10y)`

  • A lemonade stand's profit is given by the equation p=2c-8.5 . Which of the following does the number 2 most likely represent?

    A
    The price of one cup of lemonade
    B
    The profit generated from the sale of one cup of lemonade
    C
    The minimum number of cups of lemonade that must be sold to earn a profit
    D
    The costs that must be recuperated before the lemonade stand eans any profits

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