The marriage rate per 1000 population for the years 1967-2009 is given by M(x) =
ID: 3014135 • Letter: T
Question
The marriage rate per 1000 population for the years 1967-2009 is given by M(x) = -0 131x +11.079. where x is the number of years after 1960. Why is this a linear function, with y = M(x)? What is the slope? What does this slope say about the number of unmanned women who get married? Choose the correct answer below This a linear function because each of the variables x and y appear to the first power and it is written in the form y = ax +b This a linear function because x and y appear to the second power This a linear function because y is alone on the left side of the equation. This a linear function because x and y are not in separate terms. What is the slope? (Type an integer or a decimal) What does this slope say about the number of unmarried women who get married? Choose the correct answer below It decreased at a rate of 11.079 per thousand per year It increased at a rate of 0.131 per thousand per year It decreased at a rate of 0 131 per thousand per year It increased at a rate of 11.079 per thousand per yearExplanation / Answer
a.) As per the defination of linear function, any funtion that consists of maximum two variables with no exponent or power is considered as linear function.
General mathematical representation - y = ax+b
Hence M(x) = - 0.131x + 11.079 is a linear functiion
therefore A. is correct option.
b.) From general mathematical representation y= ax+b, a is the slope of function, comparing given equation with general equation,
a= - 0.131, negative sign represents decreasing slope hence the number of unmarried women getting married is decreased by rate of 0.131
therefore C is correct option.
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