Question

Eric noticed that his basil plant grows 5 cm every day. He starts recording the height when the plant is 22 cm tall. How many days has he been recording the growth of the plant, if it is now 62 cm tall? Eric sets up and solve the equation shown. What does the solution 8 mean?

y = 5x + 22
62 = 5x + 22
40 = 5x
x = 8

Answer 1

The soultion 8 is the number of days the plant has been growing. To see if he is correct, put it in for x. 
5(8)+22
40+22
62 
His equation is correct.

Answer 2

Answer:

8 days

Step-by-step explanation:

If Eric's basil plant grows 5 cm per day and he records the height when it is 22 cm tall. The plant grows until it is 62 cm.

Let y be the the height of the plant at 62 cm and x be the number of days that he has been recording. We can multiply the growth per day, which is 5, to the number of days it has grown and add the starting growth. Therefore the equation will lool like this:

$y=5*x+22$

We can simplify the equation because we know that y=62:

$62=5*x+22$

Therefore we can solve for x:

$x=40/5=8$

The number of days Eric has been recording the plant growth is 8 and his analysis is correct.