The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows: y = 4 + 2x what does the slope of this function represent? the original height of the plant was 4 mm. the original height of the plant was 2 mm. the height of the plant increases by 2 mm for every hour of sunlight it receives. the height of the plant increases by 4 mm for every hour of sunlight it receives.

The height of the plant increases by 2 mm for every hour of sunlight it receives.

Step-by-step explanation:

The linear equation of of a line is given by :-

, where m is the slope of the line .....................(1)

Given: The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows:

When we compare to the equation (1), we get the slope of this function = 2mm per hour.

Since slope tells that rate of change of y values with respect to change in x values.

Thus, the slope of this function represent "The height of the plant increases by 2 mm for every hour of sunlight it receives. "

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll