Question

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)

Answer 1

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

Answer 2

Im not sure.

Answer 3

you would write: x + x +3 + 3

Answer 4

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

Answer 5

yes

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

Is there a more detailed way of describing the expression?

Answer 11

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

Answer 12

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.

Answer 13

couldn't have put it better myself!!

Answer 14

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

Answer 15

i can try

Answer 16

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)

Answer 17

@Z4K4R1Y4 you still there?

Answer 18

yh

Answer 19

Sorry, i can't help with this one.

Answer 20

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

Answer 21

Its fine thanks for your help on the other one.

Answer 22

np

Answer 23

looks like you got help :)

Answer 24

@LegendarySadist What do i use that for?

Answer 25

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

Answer 26

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

Answer 27

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

Answer 28

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

Answer 29

Is that the answer for part b?

Answer 30

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

Answer 31

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

Answer 32

instead of the +200 being on the other side

Answer 33

Wait, wait

Answer 34

oh nevermind i think you are right

Answer 35

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

Answer 36

oops

Answer 37

so lemme try this again

Answer 38

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

Answer 39

Thanks i believe that is correct!

Answer 40

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

Answer 41

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

Answer 42

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

Answer 43

Okay sounds good

Answer 44

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

Answer 45

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)

Answer 46

They should be rather fast

Answer 47

That is the next question

Answer 48

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

Answer 49

Im not so sure.

Answer 50

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

Answer 51

Okay but isnt that in slope intercept form

Answer 52

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

Answer 53

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

Answer 54

How can we put that in standard form??

Answer 55

Oh, didn't notice that =(

Answer 56

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

Answer 57

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

Answer 58

But honestly I'm not sure

Answer 59

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

Answer 60

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

Answer 61

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

Answer 62

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

Answer 63

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

Answer 64

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

Answer 65

Yeah, I'd say that looks good

Answer 66

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

Answer 67

Yeah, I can do one more

Answer 68

Gonna be the last tho

Answer 69

Okay sounds great

Answer 70

here i go

Answer 71

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)

Answer 72

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

Answer 73

Sorry i meant the table not graph

Answer 74

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