Celina had a rectangular tablecloth with dimensions x feet and 3 feet. She put lace along 4 feet of the edge of the tablecloth.
An expression is shown below:
(2x + 6) - 4
Part A: What does the expression represent? (4 points)
Part B: What does 2x + 6 represent? (3 points)
Part C: What does 2x represent? (3 points)

- MeowLover17

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- Z4K4R1Y4

if you caculating the perimeter of the cloth what would you write?

- MeowLover17

Im not sure.

- Z4K4R1Y4

|dw:1432939869827:dw|
you would write: x + x +3 + 3

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## More answers

- MeowLover17

Yes, so (2x+6) represents the entire perimeter?

- Z4K4R1Y4

yes

- MeowLover17

So does (2x+6)-4 represent the area or...?

- Z4K4R1Y4

no. (2x + 6) is the entire perimeter...but 4 ft have lace on them.

- Z4K4R1Y4

so what would (2x +6) - 4 be?

- MeowLover17

I'm not sure, but i'd have to guess, its the perimeter minus the lace. im not sure what it is otherwise.

- MeowLover17

Is there a more detailed way of describing the expression?

- Z4K4R1Y4

you're right. it means that's the length of the perimeter that doesn't have lace.

- MeowLover17

Okay i see now, So for part A i'd put
Part A: The expression (2x+6)-4 represents the part of the perimeter without the lace.
Part B: (2x+6) Represents the entire perimeter, x+x being two sides, and 3+3 each being another two sides.
Part C: 2x just represents the parallel sides of the rectangle. Also known as the sides opposite to each other, and would basically give its length once x is plugged in.

- Z4K4R1Y4

couldn't have put it better myself!!

- MeowLover17

Thanks for your help, do you think you can help me with a few more?

- Z4K4R1Y4

i can try

- MeowLover17

Okay here i go,
Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. Veronica teaches seven groups of students, and her net earnings per month are $6,100.
Part A: If each student learns French for the same number of hours, write an equation that can be used to calculate the number of hours each student learns French in a month. (5 points)
Part B: How many hours did each student learn French each month? Show your work and justify each step of your work. (5 points)

- MeowLover17

@Z4K4R1Y4 you still there?

- Z4K4R1Y4

yh

- Z4K4R1Y4

Sorry, i can't help with this one.

- anonymous

28*45*h=6100+200
28 represents the students
45 represents the cost per hour.
h represents the # of hours

- MeowLover17

Its fine thanks for your help on the other one.

- Z4K4R1Y4

np

- Z4K4R1Y4

looks like you got help :)

- MeowLover17

@LegendarySadist What do i use that for?

- anonymous

It is the answer for Part A and the formula you would use to solve Part B

- MeowLover17

Okay, so i just solve for h, in 28*48h=6,100+200?

- anonymous

Honestly I'm not too sure about the "+200" part since I'm not very well acquainted with what "net earning" is referring to. You may or may not need the +200

- MeowLover17

i get 28*48h=6,300 --> 225 divded by 48 recieving 4.6875

- MeowLover17

Is that the answer for part b?

- anonymous

ok, I confirmed the +200, so yeah that should be the answer.

- MeowLover17

but wait would the equation look like this (7)(4)(48)x+200=6,100?

- MeowLover17

instead of the +200 being on the other side

- anonymous

Wait, wait

- MeowLover17

oh nevermind i think you are right

- anonymous

I just noticed you made a typo and put 28*48 instead of 28*45

- MeowLover17

oops

- MeowLover17

so lemme try this again

- MeowLover17

28*45*h=6100+200
28 represents the students
45 represents the cost per hour.
h represents the # of hours
1260h=6,300
h=5

- MeowLover17

Thanks i believe that is correct!

- anonymous

Yeah, that looks right to me. Glad i caught that =)

- MeowLover17

Yea thanks, do you you think you have time for a few more?

- anonymous

I could help with one or two, but no more than that

- MeowLover17

Okay sounds good

- anonymous

Although it mostly depends on how quickly we can get through them

- MeowLover17

Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 54 km/h. After four hours, the velocity of the car is 58 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)

- MeowLover17

They should be rather fast

- MeowLover17

That is the next question

- anonymous

Sorry for the delay, but i suppose it would be y=2x+50 wouldn't it? Or just 2x+50

- MeowLover17

Im not so sure.

- anonymous

Well it satisfies both of them. For x of 2, you would get 54 and an x of 4 would get you 58

- MeowLover17

Okay but isnt that in slope intercept form

- MeowLover17

So X represents the amount of Hours, and Y represents different times???

- anonymous

Slope intercept form is y=mx+b with m being the slope and b being the y-intercept. We have y=2x+52 with 2 being the m and 52 being the b

- MeowLover17

How can we put that in standard form??

- anonymous

Oh, didn't notice that =(

- MeowLover17

does it being in slope intercept form change our entire equation? or can we just switch it to standard? also what do the X and Y variables represent

- anonymous

I'd think it would just be -2x+y=50

- anonymous

But honestly I'm not sure

- MeowLover17

Okay and x represents the velocity while y represents time? in other words we could do -2v+t=50???

- anonymous

Standard form is just so useless that i never use it and don't remember how to convert.

- MeowLover17

Okay well how would i answer for part A: and B:????

- anonymous

Actually yeah, just graphed them and they both fit so -2v+t=50 would be it

- MeowLover17

For part A do i put
Part A: -2v+t=50
If you input 2 for velocity or 4 both satisfy what is given in the primary equation.
v represents the velocity, while t represents time.
To solve for v just add it to the other side --> t=+2(2)+50 --> t=54, then you could switch out 4 for v receiving 58.
Part B:
To graph, just plug in 0 for t and then 6 for t...you get (0,50) and (6,62)
Connect those 2 points and you have your graph for the first 6 hours

- MeowLover17

So would that be correct? or is my part a or b wrong.

- anonymous

Yeah, I'd say that looks good

- MeowLover17

Okay thanks do you think you have time for one more??

- anonymous

Yeah, I can do one more

- anonymous

Gonna be the last tho

- MeowLover17

Okay sounds great

- MeowLover17

here i go

- MeowLover17

The table below shows the outputs y for different inputs x:
Input
(x) 1 1 3 3
Output
(y) 4 2 12 6
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:
f(x) = 20 + 10x
What is the value of f(120), and what does f(120) represent? (5 points)

- MeowLover17

I believe for Part a it would be
Part A: No the GRAPH does NOT represent a function being there are more than one of the same x variable.
But im not sure for part B

- MeowLover17

Sorry i meant the table not graph

- anonymous

Wait, the input of 1 has two outputs? Definitely not a function there.

- MeowLover17

Yea, but i dont understand part B.

- anonymous

Just put 120 for x so f(x)=20+10(120)

- MeowLover17

Okay and what does that represent???

- anonymous

The cost for renting it for 120 hours

- MeowLover17

Is that the last one you could help me on? if so your help was appreciated and still is lol.

- anonymous

Yeah, I got my own homework to do, I just came here for a little break (a.k.a. procrastination)

- MeowLover17

Alright awesome thanks for helping. good luck with your homework.

- anonymous

No problem and good luck to you as well =)

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