The Booneville History Museum had 25,000 visitors in 1980. The number of visitors has decreased by 2.5% each

year since 1980 Wien

year since 1980. Write a function (t) to represent the number of visitors to the Booneville History Museumt

years after 1980.

A-v(t) = 25000(0.025)

B -v(t) = 25000(0.25)

C-v(t) = 25000(0.975)

D-v(t) = 25000(1.025)

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for 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: