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.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

true !

step-by-step explanation: