Question

PLEASE HELP!!! 40 points!!! 1) A school puts on a play. The play costs $1,200.00 in expenses. The students charge $4.00 for tickets. There will be 1 performance of the play in an audiotorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?

A)The domain is all real numbers from negative 1,200 to positive 2,000.
B) The domain is all integers from negative 1,200 to positive 2,00.
C) The domain is all integers from 0 to 500.
D) The domain is all real numbers from 0 to 500.

2) A student is running a 3-kilometer race. He runs 1 kilometer every 2 minutes. Select the function that describes his distance from the finish line after x minutes.

A) f(x)= -1/3x+2
B) f(x)= -1/2x+3
C) f(x)= 1/2x+3
D) f(x)= 1/3x+2

3) A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is f(x)= x+30. How will the graph of this function change if the coal car weight is changed to 26 tons?

A) The line will shift vertically up by 4 tons.
B) The line will shift vertically up 26 tons.
C) The line will shift vertically down by 4 tons.
D) The line will shift vertically down by 26 tons.

Answer 1

your answer will be C.

Answer 2

#1, Answer is C, and not D. They can only sell integer number of tickets. They cannot sell irrational number of tickets.

#2, He runs 1 kilometer every 2 minutes. That means he will run 1/2 kilometer per minute. Your answer is C.

#3, the equation would change to f(x) + 26

So it would shift vertically down by 4 tons. Your answer is C.