This graph shows a proportional relationship between c the number of chairs and t the number of round tables. Which statement identifies the correct slope, and the correct interpretation of the slope for this situation? A. The slope of the line is 51
, so the number of chairs is 1 for every 5 tables.

B. The slope of the line is 51
, so the number of chairs is 5 for every 1 table.

C. The slope of the line is 15
, so the number of chairs is 5 for every 1 table.

D. The slope of the line is 15
, so the number of chairs is 1 for every 5 tables.

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step-by-step explanation:

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: