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.

Part B: Write a function which best fits the data.

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

yes there is a linear correlation

reason : a increase of 1 hour results in an increase of 3 height

y= 3x + 4

it has  a positive slope of 3 ,and y intercept of 4

Step-by-step explanation:

Part A: Yes

Part B: y = 3x + 4

Part C: Slope: the height increases at a rate of 3 cm per hour of sunlight

y-intercept: initial height, without any sunlight is 4 cm

Step-by-step explanation:

As x increases by 1 unit, y increases by 3. Therefore there is a correlation between the variables

Slope: (7-4)/(1-0) = 3/1 = 3

y-intercept is at x = 0, which is 4

Equation:

y = 3x + 4

Slope: the height increases at a rate of 3 cm per hour of sunlight

y-intercept: initial height, without any sunlight is 4 cm

there is no

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".