Math Snap

STEP 1

What is this asking?
How tall will a plant be after 14 months if it starts at 41 centimeters and grows 1 centimeter each month?
Watch out!
Don't forget the plant starts at a certain height, it doesn't start from zero!

STEP 2

1. Define the function
2. Substitute and solve

STEP 3

We're given a handy-dandy function that tells us the plant's height after a certain number of months.
It's right there in the problem:
$$H(m) = 41 + m$$ This tells us that the plant starts at a height of $\textbf{41}$ centimeters, and for every month ($m$) that passes, we add $\textbf{1}$ centimeter to its height.

STEP 4

We want to know the plant's height after $\textbf{14}$ months, so we'll substitute $m = 14$ into our function.
Think of it like swapping out the $m$ for the number $\textbf{14}$:
$$H(14) = 41 + 14$$

STEP 5

Now, we just need to do a little addition!
Adding $41 + 14$ gives us $\textbf{55}$.
So:
$$H(14) = 55$$

After 14 months, the plant will be $\textbf{55}$ centimeters tall!