LIFE SCIENCE APPLICATIONS Metabolic Rate The basal metabolic rate (in kcal / day ) for large anteaters is given by y = f ( x ) = 19.7 x 0.753 , where x is the anteater's weight in kilograms.* Source: Wild-life Feeding and Nutrition. a . Find the basal metabolic rate for anteaters with the following weights. i. 5 kg ii. 25 kg b. Suppose the anteater's weight is given in pounds rather than kilograms. Given that 1 lb = 0.454 kg , find a function x = g ( z ) giving the anteater's weight in kilograms if z is the animal's weight in pounds. c. Write the basal metabolic rate as a function of the weight in pounds in the form y = a z b by calculating f ( g ( z ) ) .
LIFE SCIENCE APPLICATIONS Metabolic Rate The basal metabolic rate (in kcal / day ) for large anteaters is given by y = f ( x ) = 19.7 x 0.753 , where x is the anteater's weight in kilograms.* Source: Wild-life Feeding and Nutrition. a . Find the basal metabolic rate for anteaters with the following weights. i. 5 kg ii. 25 kg b. Suppose the anteater's weight is given in pounds rather than kilograms. Given that 1 lb = 0.454 kg , find a function x = g ( z ) giving the anteater's weight in kilograms if z is the animal's weight in pounds. c. Write the basal metabolic rate as a function of the weight in pounds in the form y = a z b by calculating f ( g ( z ) ) .
Solution Summary: The author calculates the basal metabolic rate for anteaters with the given weights.
Metabolic Rate The basal metabolic rate (in
kcal
/
day
) for large anteaters is given by
y
=
f
(
x
)
=
19.7
x
0.753
,
where
x
is the anteater's weight in kilograms.* Source: Wild-life Feeding and Nutrition.
a. Find the basal metabolic rate for anteaters with the following weights.
i.
5
kg
ii.
25
kg
b. Suppose the anteater's weight is given in pounds rather than kilograms. Given that
1
lb
=
0.454
kg
, find a function
x
=
g
(
z
)
giving the anteater's weight in kilograms if
z
is the animal's weight in pounds.
c. Write the basal metabolic rate as a function of the weight in pounds in the form
y
=
a
z
b
by calculating
f
(
g
(
z
)
)
.
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