Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal volumeâ€�) by a mammal of any size is 6.33 mL per kilogram of body mass. a. Write a function representing the tidal volume T x (in mL) of a mammal of mass x (in kg). b. Write an equation for T − 1 x . c. What does the inverse function represent in the context of this problem? d. Find T − 1 170 and interpret its meaning in context. Round to the nearest whole unit.
Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal volumeâ€�) by a mammal of any size is 6.33 mL per kilogram of body mass. a. Write a function representing the tidal volume T x (in mL) of a mammal of mass x (in kg). b. Write an equation for T − 1 x . c. What does the inverse function represent in the context of this problem? d. Find T − 1 170 and interpret its meaning in context. Round to the nearest whole unit.
Solution Summary: The author explains how to calculate the tidal volume of a mammal of any size during normal respiration.
Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal volume�) by a mammal of any size is 6.33 mL per kilogram of body mass.
a. Write a function representing the tidal volume
T
x
(in mL) of a mammal of mass x (in kg).
b. Write an equation for
T
−
1
x
.
c. What does the inverse function represent in the context of this problem?
d. Find
T
−
1
170
and interpret its meaning in context. Round to the nearest whole unit.
Assume a box has a square base and the length of a side of the base is equal to twice the height of the box.
a. If the height is 6 inches, what are the dimensions of the base?
The dimensions of the base are
inches X
inches =
square inches.
b. Write functions for the surface area and the volume that are dependent on the height, h.
S(h) = nh" square inches, where n =
and m =
%3D
V(h) =
ph° cubic inches where p =
and g =
%3D
c. If the volume has increased by a factor of 27, what has happened to the height?
The new height is
times the original height.
d. As the height increases, what will happen to the ratio of (surface area)/volume?
The ratio will
not chänge
e Textbook
Increase
decrease
Enter a formula representing the following function.
The gravitational force, F, between two bodies is inversely proportional to the square of the distance d between them.
Use k as the constant of proportionality.
F=
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