In a survey, it was found that 72% of the population of a certain urban area lived in single-family dwellings and 28% in multiple housing. One year later, of those who had been living in single-family dwellings, 89% still did so, but 11% had moved to multiple-family dwellings.
Of those in multiple housing, 94% were still living in that type of housing, while 6% had moved to single-family housing.
(a) Write a transition matrix using this information. Set it up so that the first row and first column represent single-family dwellings and
the second row and second column represent multiple housings

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

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the answer is $23.63