Another part of the survey asked participants whether they purchased food at the beach and whether they rented any sporting equipment at the beach. These results are shown in the following two-way relative frequency table. Each value is rounded to the nearest hundredth.

Rented Equipment Did Not Rent Equipment Total
Purchased Food
0.48
0.18
0.66
Did Not Purchase Food
0.25
0.09
0.34
Total
0.72
0.28
1.00

Does there seem to be a relationship between purchasing food and renting equipment?

Write a short paragraph (3 to 5 sentences) to explain whether there is a relationship. Be sure to support your answer with appropriate math vocabulary and reasoning.

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

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: