Question

Need help

Answer 1

so 4y=3x+2

Answer 2

actually let me rephrase that

Answer 3

when I say "re-arrange" we are not just moving the terms around, we are actually adding/subtracting terms from each side

Answer 4

and solving for y?

Answer 5

yes

Answer 6

Actually linear equation is where i struggle am i on the right track

Answer 7

watch your signs

0 - 3x is -3x

Answer 8

so now we have 4y + 2 = -3x
then we just subtract 2 from each side to isolate 4y

Answer 9

so -3x+0

Answer 10

so we do not include the zero

Answer 11

yes, the right hand side should be -3x

Answer 12

nah, since -3x + 0 is just - 3x

Answer 13

keeping the extra + 0 just clutters things

Answer 14

and end up with 4y=-3x-2

Answer 15

good now we divide both sides by 4

Answer 16

\[y=-\frac{ 3 }{ 4 }-\frac{ 1 }{ 2 }\]

Answer 17

3/4x

Answer 18

good, and since this is the standard form of a linear equation, the original equation is linear

Answer 19

as another thing to write, you could mention that all variables have exponents of 1 making the equation linear

Answer 20

okay that was part a and b right

Answer 21

just a

Answer 22

for b take a look at the table. is x changing by the same amount each time? what about y?

Answer 23

yes the x variable is changing by x2 and the y variable by like 1 to 5 is 5 ,,, 5 to 15 is 10,,, 15 to 30 is 15

Answer 24

good, so the y values are not increasing by the same amount each time

Answer 25

going from 1 to 5 is a smaller jump than going from 15 to 30

Answer 26

making the equation nonlinear

Answer 27

c is kind of hard to explain but I will do my best

Answer 28

after 0 hour, one person (besides the original person) knows the secret
after 1 hour, that one person tells another person so now 2 people know the secret
after 2 hours, those 2 people tell 2 more people, so now 4 people know the secret in total
after 3 hours, those 4 people each tell 4 other people so 8 people know the secret

notice how the number of people is growing by a non-constant number each time?

Answer 29

yes

Answer 30

it is linear

Answer 31

because both n and t are increasing at a specific rate

Answer 32

to be linear, the increase in the number of people would have to be the same

Answer 33

we jump from 1 to 2, then to 4 then to 8 people

Answer 34

oh okay so it is not

Answer 35

because its not increasing by the same amount right

Answer 36

right that's correct

Answer 37

you could help explain this by making a table of the number of hours since the secret has been told vs, the number of people who know the secret (using the numbers I have shown)

Answer 38

then explain how the change in # of people is not constant

Answer 39

okay so I would make a table and then explain by saying that the change in the number of people is not constant because the increase in the number is not the same.

Answer 40

yes

Answer 41

"rate of change" is a better way to say it

Answer 42

"the rate of change in N (the number of people) is not constant when the rate of change in t (time) is constant" something like that

Answer 43

is n taking the place of x?

Answer 44

because I don't want to switch up the values

Answer 45

on the table

Answer 46

normally x is independent and y is dependent

in this case N is the dependent and t is the independent

Answer 47

so x ---> t
y ---> N

Answer 48

thanxxxxx