Scientists around the world have collected data revealing that there is a linear relation- ship between the length (snout-to-vent) of a snake and the length of the fish that they can eat. This relationship is given by l(z) = -3.6 +0.17r where x is the snout-to-vent length (cm) of the snake and 1(r) is the predicted length(cm) of the fish. (a) Use the function to estimate the size of fish that a snake whose snout-to-vent length is 70 cm, will choose for their prey. (b) Calculate l'(70) and interpret the results.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Scientists around the world have collected data revealing that there is a linear relation-
ship between the length (snout-to-vent) of a snake and the length of the fish that they
can eat. This relationship is given by l(x) = -3.6 +0.17x where x is the snout-to-vent
length (cm) of the snake and 1(x) is the predicted length(cm) of the fish.
(a) Use the function to estimate the size of fish that a snake whose snout-to-vent length
is 70 cm, will choose for their prey.
(b) Calculate l'(70) and interpret the results.
1.
ints
ints
Transcribed Image Text:Scientists around the world have collected data revealing that there is a linear relation- ship between the length (snout-to-vent) of a snake and the length of the fish that they can eat. This relationship is given by l(x) = -3.6 +0.17x where x is the snout-to-vent length (cm) of the snake and 1(x) is the predicted length(cm) of the fish. (a) Use the function to estimate the size of fish that a snake whose snout-to-vent length is 70 cm, will choose for their prey. (b) Calculate l'(70) and interpret the results. 1. ints ints
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