University:
Glendale Community College
Course:
MAT150 College Algebra/Functions
Academic year:

2020
Views:

219

Pages:

2
Author:

Leslie Williamson

MAT 150 College Algebra Direct and Inverse Variation - Section 2.4 1. What does it mean for two items to vary directly with each other? 2. Can you think of any day-to-day relationships that could be described as a direct variation? 3. What does it mean for two items to vary inversely with each other? 4. Can you think of any day-to-day relationships that could be described as an inverse variation? 5. Classify the following as a Direct Variation or an Inverse Variation, A) D  4t B) R  9 t C) F  5 d D) C  S 24 6. For the Variations examples in part 5 above, identify the constant of proportionality. 7. Find the value: A) y varies directly with x. If y = - 4 when x = 2, find y when x = 6. B) y varies inversely with x. If y = 7 when x = -4, find y when x = 5. 8. Answer the following questions: A) In an experiment, Joseph finds that amount of a chemical needed is directly related to the time of its reaction with a certain catalyst. If he has 12 grams of the chemical and the 1 reaction time was second, what amount of chemical is needed to have a reaction that 2 lasts 3 seconds? B) The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h? Tougher Direct/Inverse Variation Examples. 9. Write a general variation formula for the following: A) V varies directly with the square root of t. B) F varies inversely with the sum of x and y. C) The variable y varies directly with x and inversely with the square of z. 10. Find the constant of proportionality for each situation below: A) F varies inversely with the cubed root of D. F = 5 and D = 27 B) M varies directly with the difference of squares of A and B. M = 10, A = 5, and B = 3 11. Answer the following questions? A) The intensity of light I varies inversely with the square of the distance D from the 3 bulb. If a distance of 2 meters creates an intensity of foot-candles, what is the 4 intensity created when the bulb has a distance of 5 meters? B) The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. If a cylinder of 50 liters contains oxygen at a temperature of 200 K and a pressure of 5 atmospheres, what would the gas pressure be if the volume was changed to 30 liters and the temperature raised to 250 K?

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Section 2.5 Variation

Glendale Community College MAT150 College Algebra/Functions

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