Question

A plant is already 10 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then graph your equation using the axes below.

Answer 1

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.