Math Word Problems
posted by Carmen on .
#1. The pressure P of a compressed gas is inversely proportional to the volume V. If there is a pressure of 35 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 100 square inches.
#2. A frictional force is necessary for a car to round a bend. The frictional force, F kilonewtons, varies directly as the square of the car's speed, V meters per second, and inversely as the radius of the bend, R meters. Write down a relationship between F, V and R.

pressure P varies inversely with the volume V > P = k/V
when P=35, V  400
35 = k/400
k = 35(400) = 14000
so P = 14000/V
I will assume you meant to say 100 cubic inches at the end of the first problem
so when V = 100
P = 14000/100 = 140