Question

Decide whether each of the following is linear or not linear. In each case, explain your answer.
a. 3x+4y+2=0
x | y
2 1
4 5
6 15
8 30

Answer 1

c. You have a secret that you tell to one person. Every hour, each of the people that know the secret tells one person. The number of people who know is N, and t is the number of hours since you told the first person. Is N a linear function of t?

Answer 2

sorry forgot to put the B in front of the second one lol

Answer 3

@freckles @OOOPS

Answer 4

not linear

Answer 5

why ? @OOOPS

Answer 6

when you draw this relation u will got a straight line

Answer 7

there are three questions here a b c, i think you only got the first one if im not mistaken

Answer 8

I'm not really sure what's going on here.
a. is 3x+4y+2=0
b. x|y
c. is that last one you put that wasn't included in the original?

what is that other stuff
2 1
4 5
6 15
8 30
2 doesn't divide 1
4 doesn't divide 5
and so on so i know these aren't examples of x|y

Answer 9

yes b is the x y chart a is that c is the last response after the first one lol

Answer 10

I thought those are the points in 3x+4y+2=0, that 's why I said it is not linear.:)

Answer 11

the x y chart is the 2 1 and 4 5

Answer 12

the left is x the right is y XD

Answer 13

a) well ax+by+c=0 is a linear equation form
b) {(x,y)|(2,1),(4,5),(6,15),(8,30)}
If this is a linear function then
\[\frac{5-1}{4-2}=\frac{15-1}{6-2}=\frac{30-1}{8-2}=\frac{15-5}{6-4}=\frac{30-5}{8-4}=\frac{30-15}{8-6}\]
or you could find the equation of the line involving the first 2 pairs only
then plug in the other order pairs to see they belong on that line
example:
\[\frac{5-1}{4-2}=\frac{4}{2}=2\]
\[y-1=2(x-2) \text{ point slope form }\]
then take (4,5) and see if it is on that line

Answer 14

thanks for trying to help freckles, read pm :)

Answer 15

c. You have a secret that you tell to one person. Every hour, each of the people that know the secret tells one person. The number of people who know is N, and t is the number of hours since you told the first person. Is N a linear function of t?


for the last one...
So at t_0 hour we have N people know
at t_1 we would have 2N
at t_2 we would have 2(2N)=4N
the amount is just doubling...

So this should be a hint for the last one.

Answer 16

thank you