Direct and Inverse Variation Worksheet
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) [pic] B) [pic] C) [pic] D) [pic]
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 reaction time was [pic]second, what amount of chemical is needed to have a reaction that 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 bulb. If a distance of 2 meters creates an intensity of [pic] foot-candles, what is the 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?
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- student checklist fort thomas independent schools
- boyle s law pressure volume relationship in gases
- unit 6 part ii triangle similarity
- direct and inverse variation worksheet
- vocabulary and theorems section 1
- stacey carpenter university of hawaiʻi
- student or group name
- goals university of hawaiʻi
- chapter 1 lecture notes
Related searches
- direct and indirect variation problems
- direct and indirect variation pdf
- direct and inverse variation equations
- direct and indirect variation formula
- direct and inverse variation examples
- direct and inverse variation algebra 1
- direct and indirect variation equations
- direct and inverse variation calculator
- direct and inverse variation pdf
- direct and indirect variation examples
- direct and inverse variation equation
- direct and inverse variation worksheet