Page 546 - Algebra 1

Investigation Practice
a. Write an equation for the relationship where s varies jointly with r and t and k = 4.
b. Write an equation for the relationship where m varies jointly with n and the s q u a r e r o o t o f p a n d k = _1 .
The value of y varies jointly with w and x and inversely with z. If w = 12, x = 9, and z = 15, then y = 36.
c. Write an equation for the given relationship.
d. Find the constant of variation.
e. What is the value of y, when w = 16, x = 8, and z = 20?
The ideal gas law is PV = 0.08206nT.
f. How many moles of gas are in a 30 liter scuba canister if the temperature in
the canister is 300 K and the pressure is 200 atmospheres? Round the answer
to the nearest tenth.
g. Solve the ideal gas law for V. What type of variation exists between V and P?
between V and n?
The volume V of a right circular cone varies jointly with the square of the radius of the base r and the height of the cone h.
h. Write an equation relating the radius, height, and volume of a right circular
cone.
i. The volume of a right circular cone with a radius of 2 centimeters and a height
of 4 centimeters is 16.76 cubic centimeters. Find the constant of variation to
the nearest hundredth.
j. What is the volume of the cone pictured below?
h=7 r=3
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Investigation 8 531