Question

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.

Answer 1

The height of the plant increases by two mm for ever hour of sunlight it receives. This is your answer.

Answer 2

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

Explanation:

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

`y=mx+c`, 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:

`y = 4 + 2x`

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. "