Question

A botanist measures the height of a type of grass on Monday and again on Friday. The botanist finds that the percent increase in height is 32% If the height of the grass on Friday is 16.3 cm, what was the approximate height of the grass on Monday

Answer 1

To find the original height of the grass on Monday before it increased by 32%, we solve the equation 16.3 cm = 1.32H, where H is the height on Monday. The calculation gives an approximate height of 12.35 cm.

Step-by-step explanation:

The student is asking how to find the original height of a type of grass before its height increased by 32%. Since we know the grass's height on Friday was 16.3 cm after the increase, we can calculate the original height on Monday. To do this, we label the height on Monday as H and then write the equation for the 32% increase.

16.3 cm = H + (0.32 × H) → 16.3 cm = 1.32H

Now we solve for H:

H = 16.3 cm / 1.32

H ≈ 12.35 cm

Therefore, the approximate height of the grass on Monday was 12.35 cm.