A plant's initial height is 7 inches tall. The plant grows 1.3 inches each day for 27 days before the plant falling over 0.5 inch for 30 day. What is the height of the in inches after 30 day

The height of the in inches after 30 day is 40.6 inches.

Step-by-step explanation:

The initial height of the plant = 7 inches

The increase in height for first 27 days = 1.3 inches per day

So, increase in height in 27 days = 27 x (per day increase) = (27 x 1.2) in

Now, the total length of plant after 27 days

= Initial height + (increase in height in 27 days)

= 7 inches + (1.3 x 27) in = 7 + 35.1

= 42.1 inches

So, at the end of 27 days, the height of plant = 42.1 inches

Now, the decrease in height for each 3 next days = 0.5 inches per day

So, decrease in height in 3 days = 3 x (per day decrease) = (0.5 x 3) in

⇒The total length of plant after 30 days

= The height after 27 days - (decrease in height in 3 days)

= 42. 1 inches - (0.5 x 3) in = 42.1 - 1.5

= 40.6 inches

Hence, the height of the in inches after 30 day is 40.6 inches.