Question

Compare the data for the growth of two plant samples. How can you determine which data set is linear?












A)
Sample B has linear data because it increases as a slower rate.



B)
Sample A has linear data because it has a constant rate of change.



C)
Neither sample has linear data because the samples start at different heights.



D)
Both samples have linear data because as x increases, y increases.

Answer 1

@borak

Answer 2

you know that the linear have constant rate of change or slope

Answer 3

you know to claclaute the slope if given 2 points;

Answer 4

do you know how to calcuate the slope ?

Answer 5

nope

Answer 6

to calcaute the slope if given 2 points simple :-
(x1,y1) and (x2,y2) ;
(y1-y2)/(x1-x2)

Answer 7

take 2 points from Table A ;
take 2 point from table b ;
caclaute slope forr each one , write it;

Answer 8

can you choose 2 points from Table A and write the solpe

Answer 9

you know what slope mean ?

Answer 10

it's the rate of change of y depending of x

Answer 11

yes

Answer 12

how to calcualte the slope ?
\[\Delta{y}/\Delta{x}\]

Answer 13

you know how to get 2 points from Table A ?

Answer 14

x = time and y = height

Answer 15

give me point from table A

Answer 16

(2,12)

Answer 17

another one

Answer 18

(5,30)

Answer 19

how to find the slope :-
delta{y}/delta{x}

Answer 20

(y1-y2)/(x1-x2) : you know to make this step ?

Answer 21

5-3/30-12

Answer 22

this opposite
(30-12)/(5-3) = 18/2 =6;

Answer 23

slope of this function is 6;

Answer 24

what we said above that the linear function have !!!!!!! CONSTANT SLOPE !!!!
then if we take another 2 point It will still 6

Answer 25

you can try another 2 points from TABLE A and see 6 the answer

Answer 26

(4,24) (3,18) so 24-18/4-3=6/1

Answer 27

yea this right; which mean the function in Table A is linear

Answer 28

can you wirte two point from table b and check the slope ? write the answer here ?

Answer 29

(5,26) (3,10) so 26-10/5-3=16/2

Answer 30

the slope in this point is 16/2;

Answer 31

can you calcualte another 2 points ?

Answer 32

(4,17) (2,5) so `17-5/4-5=12/-1

Answer 33

(17-5)/(4-2) = 6;

Answer 34

you see that slope in each point is diffrent which mean that it is not a linear

Answer 35

because we say the linear is give for every 2 points A CONSTANT SLOPE

Answer 36

you know can solve the question

Answer 37

this is to much I am done thxs for all the help

Answer 38

the right answer is B ;
just for more d

Answer 39

linear function is have constant rate of change :- for example
3x-4 or 5x-3 or else ,.... x with power 1;

Answer 40

we find that A have always 6 as value of slope when we choose any 2 points and make delta{y}/delta{x}

Answer 41

this mean that Sample A descripe linear progress or linear function
BUT b dont descripte linear becuase when we choose 2 points the slope 8 and another 2 points the slope equal to 6 this mean that B not linear