Question

Manuel builds and sells wooden crates. He made a table to show how much his crates cost.

Which equation represents the situation?

Manuel’s Crates
Crates
2 4 6 8
Cost 25 45 65 85


A.
y – 2 = −10(x – 25)

B.
y – 4 = 10(x – 45)

C.
y – 65 = −10(x – 6)

D.
y – 85 = 10(x – 8)

Answer 1

@Umangiasd can you help plz?

Answer 2

@AcademicGurusInc can you help plz?

Answer 3

The solution would be let x = number of crates and y= cost, then 10 (2-8) +85 = 25 which confirms that D is the answer.

Answer 4

We hope this helps.


Regards,

Academic GurusInc.

Twitter (@Academic_Gurus)
Facebook (AcademicGurusInc)
Youtube (Academic Gurus Inc)

Answer 5

thank you can you help with more?

Answer 6

sure

Answer 7

thanks give me a second plz

Answer 8

An object moves at a constant rate. The graph shows the object's height at different times.

Which equation represents the situation?



A.
y = −15x + 900

B.
y = −15x − 900


C.
y = 15x − 900

D.
y = 15x + 900

Answer 9

http://static.k12.com/calms_media/media/1512000_1512500/1512352/2/551293a25c33f941eaa37ea0de63d68fe02e112c/MS_IMC-140516-100016.jpg

Answer 10

An object moves at a constant rate. The graph shows the object's height at different times.

Which equation represents the situation?



A.
y = −15x + 900

B.
y = −15x − 900


C.
y = 15x − 900

D.
y = 15x + 900

Answer 11

hello?

Answer 12

In this case you need to calculate the slope which is the difference in the y value divided by the difference in the x values. That is -15 then use the linear equation formula y=mx+b to solve for b, which is 900. The equation should be y=-15x +900

Answer 13

thanks

Answer 14

Martin has a gift card to a coffee shop. Each day he buys the same coffee. The table shows the amount remaining on the gift card on different days.

How much was on the card on Day 6?

$

Martin’s Gift Card
Days
2 4 5 7
Amount remaining 24.10 18.20 15.25 9.35

Answer 15

last one for now

Answer 16

In this case you, you would apply the same method: Step 1, calculate the slope by dividing the change in the " amount remaining" divided by change in "gift card days"

Step 2: Apply linear formula y=mx +b and solve for b (m=slope)

Try this to see if you can solve the problem

Answer 17

Thank you for the medal

Answer 18

np thanks for th help

Answer 19

You are welcome. We'd like to feature your question on our Youtube Tutoring Thursday channel so that we can help other students who may find it helpful. Would you be ok with that?

Answer 20

This is a link to our site: https://www.youtube.com/channel/UCYiI7SmkU4_vhdSzKBWsifg

Answer 21

Where you able to solve the last question?

Answer 22

yea sure

Answer 23

no still confused

Answer 24

plz help? im confused

Answer 25

Ok the response video will be posted today and we will notify you as soon as it has been posted.

The slope m = ((15.25 -18.20)/(5-4)) = -2.95

Then y= mx + b

Now solve b by using any x, y combination, ex. (2, 24.10) this should give you 30

now you know y= -2.95x + 30. Solve for y by replacing x with 6 (for the 6th day)

Answer 26

In the mean time, your answer should come $12.30.

Answer 27

I hope that helps.

Answer 28

thanks for the example

Answer 29

how did you get 30?

Answer 30

You are welcome.

24.10 = -2.95 (2) + b. b = 30 .

Answer 31

@BunnyBree can you help?

Answer 32

@Umangiasd can you help?

Answer 33

Martin has a gift card to a coffee shop. Each day he buys the same coffee. The table shows the amount remaining on the gift card on different days.

How much was on the card on Day 6?

$

Martin’s Gift Card
Days
2 4 5 7
Amount remaining 24.10 18.20 15.25 9.35

Answer 34

plz help

Answer 35

so confused

Answer 36

im still confused

Answer 37

Ok no problem, do you understand how to calculate the slope

Answer 38

no not really sorry @AcademicGurusInc

Answer 39

oh

Answer 40

so when i do the others do i still use -2.95?

Answer 41

Ok, let's start from the beginning:

You have two variables: Gift card days and amount remaining. Lets call gift card days variable "x" and amount remaining variable "y".

Next when you are calculating the slope you the formula is m = (y2 -y1) divided by (x2-x1). Where m is the slope and a point is represented by (x, y) so one of the points could be (2, 24.10)

Are you following so far?

Answer 42

yes that is correct

Answer 43

thank you so much i get it now you r awesome the only thing u don't get is how to get to the 6th place

Answer 44

how do i get to the 6th place i am confused when i get to the last one

Answer 45

the reason being that this is a linear relationship. Therefore y= - 2.95x +30 always applies

Answer 46

i get now what they r saying but i don't get how do i get to day 6 because if skips a day plz help on that

Answer 47

You can select any day for x and you should be able to calculate how much is remaining (y)

Answer 48

nvm i get it thanks so much if i need help with more can i mention you?

Answer 49

so my answer would be 12.30?

Answer 50

thansk so much

Answer 51

for the 6th day x=6 so the amount remaining (y) is calculated:

y = -2.95 (6) + 30

y = 12.30

That is the amount remaining on the 6th day. Does that make sense?

Answer 52

THANKS I GOT 100%

Answer 53

YES I GOT 100% can you help with more?

Answer 54

Do you understand now?

Answer 55

Great! You are welcome. Glad we could help. :)

Answer 56

Solve.

8x = 4x – 32

A.
–4

B.
8

C.
–8

D.
4

Answer 57

@AcademicGurusInc can you help with more and yes i understand how thanks

Answer 58

yes i understand

Answer 59

i got -8. is that right?

Answer 60

yes, you are correct. Good job!

Answer 61

What is the value of a?

http://static.k12.com/bank_packages/files/media/mathml_051b3ee00dfcbecfe80548a92bf6e4ad5b4dc973_1.gif

Answer 62

plz help

Answer 63

i have to get some work done off of k12 before my maw maw gets home

Answer 64

so can you help?

Answer 65

In this case start by bringing all "a" variables to the left side of the equation. Subtract 4a from both sides of the equation.

Then, to isolate "a", bring the 14 over the to the right side of the equation by subtracting 14 from both sides of the equation.

Are you following so far? what do you get?

Answer 66

You should have -6a = -30 at this stage.

Answer 67

so i subtract 14-16? and 14-14 and that cancels out? right?

Answer 68

The next step is to get rid of the -6 in front of the a. You do this by dividing -6 from both sides of the equation. This leaves you with a= 5. Do you understand?

Answer 69

Yes, that is correct

Answer 70

so then on my left side i am left with -2a, right?

Answer 71

16-14=2

Answer 72

correct?

Answer 73

then i have to subtract 4a-2?

Answer 74

how did you get 5?

Answer 75

It should look like this:

14 - 2a = 4a - 16
14 - 14 -2a = 4a - 16 - 14
-2a = 4a - 30
-2a -4a= 4a -4a - 30
-6a = -30
(-6a)/-6 = -30/-6
a =5

Answer 76

ok i am going to right that down so give me a second and thank you

Answer 77

i don't mean to be a bother but how did you get 30 and can you help with more?

Answer 78

No problem, the " -30" came -16-14, from the second line of by solution above. Do you see that? Unfortunately, I will have to go but I hope this last question makes sense