Question

A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?

Answer 1

The domain is all real numbers from negative 1,200 to positive 2,000

The domain is all integers from negative 1,200 to positive 2,000.

The domain is the integers from 0 to 500.

The domain is all real numbers from 0 to 500.

Answer 2

@M0j0jojo Can you help me please?

Answer 3

let x be the number of tickets sold.

So since the auditorium can only seat 500 people. thats our limiting factor for x. only 500 tickets can be sold. and if they sold 500 tickets then the max profit they can make is $2000. but they spent $1200 in expenses that

so basically the function of this problem is p(x)=4x-1200

Answer 4

Also when it says Domain, it refers to the x values. When it says range it refers to the y values.

Answer 5

so what is the minimum value of x and the max value of x?

Answer 6

so its the last one right ?
@M0j0jojo

Answer 7

yes

Answer 8

okay @M0j0jojo can you help me on another one?

Answer 9

okay

Answer 10

A science experiment begins with a metal at -100° Celsius. The following function describes the temperature change per minute: f(x) = 89x - 100°. How will the graph of this function change if the metal is at 25° at the start of the experiment?

Answer 11

The line will shift vertically up by 125°.

The line will shift vertically up by 25°.

The line will shift vertically down by 125°.

The line will shift vertically down by 25°.

Answer 12

so at the start the temperature is at -100 degrees Celsius. and now the question is asking what if at the start the temperature of the experiment was at 25 degrees celsius instead of -100. How would the graph look?

Answer 13

what is the y intercept of the original equation?

Answer 14

would it be c?

Answer 15

@M0j0jojo

Answer 16

why do you say that?

Answer 17

i meant b

Answer 18

if the temperature of the original is at -100 at 0 minutes. how much did the graph shift if at the starting time it was at 25 degrees.

Answer 19

125?

Answer 20

yup

Answer 21

so the answer should be the first 1

Answer 22

yes, the graph shift vertically by 125 from the original.

Answer 23

thanks so much

Answer 24

no problem

Answer 25

i need help in two more graph can you help @M0j0jojo

Answer 26

can you post it as a new question. close this question

Answer 27

alright

Answer 28

Just for people who look up this question in the future. The answer to the first question asked is the third choice, The domain is the integers from 0 to 500. NOT all real numbers