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)

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

see below

Step-by-step explanation:

Part A

Notice that for each increase of 1 in x, there is an increase of 3 in y

There is a correlation between the amount of sunlight and the height of the plant

Part B

The slope in change in y over change in x

m = 3/1 = 3

y= mx+b

y = 3x+b

The y intercept is when x =0  so b = 4

y = 3x+4

Part C

With no sunlight the plant is 4 cm tall.  As the plant gets more sunlight, the plant grows at 3 cm per hour of sunlight.

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

it’s supposed to be -4+45=41

step-by-step explanation: