A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following. What is the plant's height after 13 months?

67 cm

Step-by-step explanation:

We are given the initial height of the plant let's call it H.

H = 54 cm. This is the original height of the plant at M(months) = 0.

We are given that it grows at 1 cm/month. This is the rate of growth.

Rate = 1

Time (M) is given in Months.

So when M = 0, H = 54

Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.

When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.

H = 1M + 54.

Now we just plug in 13 for M, to get 13 months.

H = 13 + 54

H = 67 cm

So our plant would be 67 cm in height after 13 months.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.