The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w)=0.11w^(1.36) a)Find the average rate at which a carnivorous mammal's home range increases as the animal's weight grows from 200g to 450g. b) Find (H(500)-H(400))/(500-400) , and interpret this result.

skilpadw3

skilpadw3

Answered question

2022-07-25

The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H ( w ) = 0.11 w 1.36
a)Find the average rate at which a carnivorous mammal's home range increases as the animal's weight grows from 200g to 450g.
b) Find H ( 500 ) H ( 400 ) 500 400 , and interpret this result.

Answer & Explanation

slapadabassyc

slapadabassyc

Beginner2022-07-26Added 21 answers

H ( w ) = 0.11 w 1.36 .
a ) H ( 200 ) H ( 450 ) 200 450 = ( 148.181 ) ( 446.439 ) 200 450 = 1.19303
b ) H ( 500 ) H ( 400 ) 500 400 = 515.219 380.36 500 400 = 1.3486
Kenya Leonard

Kenya Leonard

Beginner2022-07-27Added 6 answers

PART A>>>
Av rate = [ H(450) - H(200)] / (450 - 200)
= [ 446.44 - 148.18 ] / 250
= 298.26 / 250
= 1.193 hectacres/gram.
PART B>>> Av rate = [ 515.22 -380.36 ] / 100 = 134.86/100 = 1.35 hectacres/gram.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?