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.

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have