Question

FAN AND MEDAL! I need help please? (:

Answer 1

SOME OF THEM I THINK THAT I KNOW...BUT IM NOT SURE..I REALLY NEED HELP GUYS. PLEASE HELP? I DON'T UNDERSTAND ANY OF THIS :'(
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?

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.
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Question 2

The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?

Graph showing a line segment that goes from ordered pairs 0, negative 10 to 30, 30.

The domain is negative 10 through 30.

The domain is all integers from negative 10 through 30.

The domain is all real numbers 0 through 30.

The domain is all integers from 0 through 30.
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Question 3

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides?

f(x) = 1.25x + 64

f(x) = -16x + $80

f(x) = -1.25x + 64

f(x) = -1.25x - 64
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Question 4

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

k = ______

Graph of f of x and g of x. f of x equals 1 over 3 x minus 2 and g of x equals 1 over 3 x plus 3.

Numerical Answers Expected!

Answer for Blank 1:
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Question 5

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.

f(x) = - 1 over 3x + 2

f(x) = - 1 over 2x + 3

f(x) = 1 over 2x + 3

f(x) = 1 over 3x + 2
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Question 6
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?

The line will shift vertically up by 4 tons.

The line will shift vertically up 26 tons.

The line will shift vertically down by 4 tons.

The line will shift vertically down by 26 tons.
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Question 7
A semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750. Select the graph that correctly shows the total cost to the company of paying its employees during a year.

Graph of Weeks versus Dollars in millions. Line segment between points zero comma zero and 52 comma 39 million.

Graph of Weeks versus Dollars in millions. Ray starting at point zero comma zero and passing through point 52 comma 39 million.

Graph of Dollars in millions versus weeks. Ray starting at point zero comma zero and passing through point 39 million comma 52.

Graph of Dollars in millions versus weeks. Line segment between points zero comma zero and 39 million comma 52.
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Question 8
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?


Total minutes of talk time
Monthly cost of cell phone
0
$19.95
10
$20.45
20
$20.95
30
$21.45
40
$21.95
The average rate of change is $0.50, meaning that for each minute of talk time, the monthly bill increases by $0.50.

The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50.

The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

The average rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05.
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Question 9
Two sisters decide to take a series of acting lessons. One decides to pay a flat rate of $75, shown as f(x). The other just wants to pay $5 per lesson, shown as g(x). Which function shows the correct combination of these two functions to represent the amount the parent should pay, shown as h(x)?

f(x) = 75, g(x) = 5x, h(x) = 5x + 75

f(x) = 75x, g(x) = 5, h(x) = 75x + 5

f(x) = 75, g(x) = 5, h(x) = 5 + 75

f(x) = 75x, g(x) = 5x, h(x) = 75x + 5x

Answer 2

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Answer 3

Is this a test?

Answer 4

No, my tests are MUCH longer!
This is an assignment I have to do and it is actually 20 questions long but I know the answers to the rest. It's just these few are KILLING me! :(

Answer 5

alright then
for the first one
Cost = (price per ticket) times (number of tickets)

if you compare it to how Domain and Range works
where Domain = x values and Range = y values
C = (p)*(t)
y = (a)*(x)
^ domain refers to number of tickets
so how many tickets are you able to sell?

Answer 6

Would it be A? All real numbers from negative 1,200 to positive 2,000?

Answer 7

not quite :)

hint: number of tickets = number of people
how many people can you possibly have?

Answer 8

500

Answer 9

Oh...I looked at it wrong. We are comparing C = (p)*(t) and y = (a)*(x) So t is similiar to x, right?

Answer 10

correct :)

Answer 11

So D? :) ..please say yes!

Answer 12

hmmm
well
all real numbers includes fractions right?
can you have half a person? O_O

Answer 13

Okay...your right! I forgot that all real numbers consists of fractions...So then it would be integers NOT all real numbers

Answer 14

correct :)

Answer 15

Awesome! So what about number 2? It is a graph?

Answer 16

Domain is x values...so, it would be B? I think?

Answer 17

No, not B...Because the -10 is a y value...so...

Answer 18

C again? Since with this graph, you CAN have fractions?

Answer 19

That is correct :) Good Job! :D

Answer 20

Awesome! Okay...next one? (: And thank you for the help!

Answer 21

I think it's D...but I'm not really sure. I feel like that is wrong...

Answer 22

it's close though :)

you start with a Positive 80
then subtract 4 for the entrance fee
then subtract 12 for the food
do you get a Positive or Negative number?

Answer 23

positive

Answer 24

So it's C...AGAIN! lol I see where I messed up

Answer 25

yup :)

Answer 26

Okay...Now, the next one is the hardest for me...It is a fill in the blank too (if that matters).

Answer 27

I'm not sure if it is 1/(3x) or (1/3)x
but it doesn't matter either way I suppose...

turning what it gave into math-speak ;)
f(x) = 1/3x - 2
g(x) = 1/3x + 3

and they gave g(x) = f(x) + k

so looking between g(x) and f(x), how do you think you could get from f(x) to g(x) ?

Answer 28

I guess you could say:
1/3(1/3+3) - 2

Answer 29

You substitute the x in f(x) for the function g(x) right?

Answer 30

ummmmm

try
g(x) = f(x) + k
-f(x) -f(x)

k = g(x) - f(x)

Answer 31

But where does the number come in? Because it is asking for a numerical answer?

Answer 32

k = g(x) - f(x)

substitute in
f(x) = 1/3x - 2
g(x) = 1/3x + 3

Answer 33

So, K= (1/3x+3) - (1/3x-2) ?

Answer 34

yes :)
then simplify

Answer 35

5?

Answer 36

Correct ^_^

Answer 37

Awesome! OMG Thank you a lot! You are REALLY helping! Only a few more (:

Answer 38

For the next one, I think it is D. I asked somebody else earlier and they agreed. They said it is D because its a 3 kilo race and it 1 kilometer per 2 minutes. So, it would be 1 kilo divided by 2 minutes plus the total number of kilometers which is 3...Is that right?

Answer 39

I mean C

Answer 40

close :P

as time goes on, he gets closer to the finish line right?
so (total distance) - (distance already ran) = (distance left)
where (distance already ran) = (rate)*(time)

Answer 41

So, the total distance is 3 the distance already ran is 1 and the distance left is 2. So, since there is no choice for 3 over 1 = 2, would I make it negative?

Answer 42

rate = (1km in 2 min) = 1/2
total distance = 3
time = x

Answer 43

I'm confused...I thought you said it wouldn't be 1/2x +3 ?

Answer 44

(total distance) - (distance already ran) = (distance left)
^ there's a negative somewhere

because 1/2x + 3 means that you're running away from the finish line xD

Answer 45

Okay...So I need to do the opposite, which would be -1/2x +3

Answer 46

that's correct :)

Answer 47

Awesome. For the next one, I think I have the answer. The line shifts vertically down by 4 tons

Answer 48

that is correct :)

Answer 49

Great! I have the last 2..I just need the next one about the semiconductors

Answer 50

time is always the independent variable
so in this case "Weeks" should go along the x axis