Question

can you help me with this question
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31


Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)

Answer 1

Part C: What does the slope and y-intercept of the plot indicate about the plant?

Answer 2

@mathmate

Answer 3

@ganeshie8

Answer 4

@GreatMath123

Answer 5

Is this flvs?

Answer 6

yes

Answer 7

I thought so, because I remember this as the module 9 exam part 2

Answer 8

its mod 6 for me could u help pleaseee im so stuck

Answer 9

ok, what do you notice about the height as the plant gets more sunlight?

Answer 10

they grow in three

Answer 11

Correct,
This is your answer for part a, that every hour of sunlight makes the height of the plant grow by 3 cm

Answer 12

Now, off to part 2:

Answer 13

This is a linear function, as the rate of change is constant.

Answer 14

The equation of a linear function is y = mx + b, where m = slope and b = y - intercept

Answer 15

as shown before, the slope (rate of change) is 3, so m = 3

Answer 16

When you look at the table, you see that the y - intercept is 4 because this is the height of the plant when it gets zero hours of sunlight.

Answer 17

so b = 4

Answer 18

Now, you simply have to replace these values into the formula

Answer 19

y=3x+4

Answer 20

Correct,
Make sure you include this:
where y represents the height of the plant and x equals the amount of sunlight that the plant receives.

Answer 21

So there is your answer to part 2

Answer 22

for part c

Answer 23

the same thing you said the slope represents 3 centemiters it grows every hour
and b represents 4 because its the height it started at on 0

Answer 24

What is part c, you did post it

Answer 25

*did not

Answer 26

the same thing you said the slope represents 3 centemiters it grows every hour
and b represents 4 because its the height it started at on 0

Answer 27

Well, you wording is a little off,
You would want to say that it grows 3 cm for every hour of sunlight it receives.
But otherwise, correct

Answer 28

for the slope for part c?

Answer 29

Yes

Answer 30

so what exacly should i right for part c im alittle confused

Answer 31

I do not know that part c asks for. Could you post it?

Answer 32

Part C: What does the slope and y-intercept of the plot indicate about the plant?

Answer 33

The slope indicates that for every hour that the plant receives, it grows 3cm.
The y - intercept indicates that when the plant has received 0 hours of sunlight, it would be 4 cm in height.

Answer 34

y the way, is this algebra 1 or 2.

Answer 35

*by

Answer 36

And also, For the math exams with these type of essays, how long does it usually take you to finish it?

Answer 37

along timeeeee because i know nothing and i gatat find peopel to help me out

Answer 38

Could you state the average amount of time