Answer:
H(M) = (1)M + 10
Step-by-step explanation:
If the plant will grow 1 centimeter every month, we can write an equation that relates the height of the plant with the number of months elapsed:
Let
H = height of the plant
M = number of months elapsed
H0 = initial height = 10cm
H (M) = (1)M + H0
H (M) = (1)M + 10
Where (1) is the constant rate of growth of 1 centimeter per month.
This is the equation of a line that intersects the H axis at H = 10.
In the attached figure the graph is shown.
Answer: The graph is attached.
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
When the line passes through the origin:
Then:
The exercise gives you the following Inequality:
You can identify that line is:
As you can notice, the line passes through the origin and its slope is:
The symbol indicates that the line is solid and the shaded region must be over the line.
Knowing the above, you can graph the Inequality (Observe the graph attached).
