A movie theater charges 10.50 per person for admission. In one hour, the theater raised $19.11 in admission fees. Write and solve an equation to find how many people visted in a hour.

a. C = $ 10.50x b. 2 persons

Step-by-step explanation:

a. Write an equation to find how many people visited in a hour

Let x be the number of persons admitted in one hour. Since the movie theater charges 10.50 per person for admission, then the total admission fees would be C = charge per person × number of persons = $ 10.50 × x = $ 10.50x.

C = $ 10.50x

b. Solve an equation to find how many people visited in a hour

Given that C = $19.11, and C = $ 10.50x, so,

x = C/($10.50)

substituting C into the equation, we have

x = $19.11/$10.50

x = 1.82

Since we cannot have a decimal number of persons, x is rounded up to the nearest whole number. So,

x = 1.82

x ≅ 2

So, two people visited the theater in one hour.

true !

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: