15. (a) If f(x) varies directly as x, prove that f(x2) = f(x1)(x2/x1). Use this formula to solve the following direct variation without solving for the constant of variation.
The distance a spring stretches varies directly as the force applied. An experiment shows that a force of 17 Kg stretches the spring 8.5 centimeters. How far will a 22-kg force stretch the spring?
(b) If f(x) varies inversely as x, prove that f(x2) = f(x1)(x1/x2). Use this formula to solve the following direct variation without solving for the constant of variation.
16. The volume of a gas varies inversely as the pressure (assuming the temperature remains constant.) An experiment shows that a particular gas has a volume of 2.4 liters under a pressure of 280 grams per square centimeter. What volume will the gas have when a pressure of 330 grams per square centimeter is applied?
The distance a spring stretches varies directly as the force applied. An experiment shows that a force of 17 Kg stretches the spring 8.5 centimeters. How far will a 22-kg force stretch the spring?
(b) If f(x) varies inversely as x, prove that f(x2) = f(x1)(x1/x2). Use this formula to solve the following direct variation without solving for the constant of variation.
16. The volume of a gas varies inversely as the pressure (assuming the temperature remains constant.) An experiment shows that a particular gas has a volume of 2.4 liters under a pressure of 280 grams per square centimeter. What volume will the gas have when a pressure of 330 grams per square centimeter is applied?