Question

HH represents the height of the tree (in centimeters), t tt years since Renata moved in. H = 210 + 33 t H=210+33tH, equals, 210, plus, 33, t How fast does the tree grow?

Answer 1

Therefore the rate of growth of the tree is 33 cm/ yr.

Explanation:

Given that,

The height of the tree is

H= 210 +33t

Here H represent the height of tree in cm and t is time in year.

The rate of growth is the first order derivative of the H with respect to time.

i.e The rate of growth
`=(dH)/(dt)`

∴H= 210 +33t

Differentiating with respect to t

`(dH)/(dt) =0 +33`

`\Rightarrow (dH)/(dt)=33`

Therefore the rate of growth of the tree is 33 cm/ yr.