Question Explain the concept of direct variation. Therefore, if the ratio between two variables remains constant, it is said to be in direct variation. Which of the following quantities vary directly with each other? Therefore, they will vary directly with each other.
Therefore, distance and time does not vary directly. Therefore, it is a direct variation. Therefore, speed and time does not vary directly.
Thus, it is a direct variation. Thus, the respective values in i , ii , iv and vi vary directly with each other. In which of the following tables x and y vary directly? If x and y vary directly, the ratio of the corresponding values of x and y remains constant. In all the cases, the ratio is the same. Therefore, x and y vary directly.
In all the cases, the ratio is not the same. Therefore, x and y do not vary directly. Thus, in i and ii , x and y vary directly. Fill in the blanks in each of the following so as to make the statement true: i Two quantities are said to vary Complite the following tables given that x varies directly as y.
Here, x and y vary directly. Find the constant of variation from the table given below:. Set up a table and solve the following problems.
Use unitary method to verify the answer. Rohit bought 12 registers for Rs , find the cost of 7 such registers. If he buys less number of registers, the cost will also be less. Thus, the cost of 7 such registers will be Rs Anupama takes minutes in walking a distance of metre. What distance would she cover in minutes? Let the distance travelled in minutes be x km.
If the distance travelled is more, the time needed to cover it will also be more. Thus, Anupama would cover metre in minutes.
If the cost of 93 m of a certain kind of plastic sheet is Rs , then what would it cost to buy m of such plastic sheet? Let the cost of the plastic sheet per metre be Rs x. If more sheets are bought, the cost will also be more. Thus, the required cost will be Rs 1, Suneeta types words in one hour. What is her GWAM gross words a minute rate? Let x be her GWAM. If the time taken is less, GWAM will also be less.
Thus, her GWAM will be How much distance would it travel in 12 minutes? Let the distance be x km. If the time taken is less, the distance covered will also be less. Thus, the required distance will be 10 km. How many boxes of the same commodity would occupy a shelf length of Let x be the number of boxes that occupy a shelf-length of If the length of the shelf increases, the number of boxes will also increase. In a library copies of a certain book require a shelf-length of 3.
How many copies of the same book would occupy a shelf-length of 5. Let x be the number of copies that would occupy a shelf-length of 5. Since the number of copies and the length of the shelf are in direct variation,.
Thus, copies will occupy a shelf of length 5. The second class railway fare for km of Journey is Rs What would be the fare for a journey of Let Rs x be the fare for a journey of Since the distance travelled and the fare are in direct variation,. Thus, the fare for a journey of If the thickness of a pile of 12 cardboards is 35 mm, find the thickness of a pile of cardboards. Let x cm be the thickness of a pile of cardboards.
Since the pile of the cardboards and its thickness are in direct variation,. Thus, the thickness of a pile of cardboards will be The cost of 97 metre of cloth is Rs What length of this can be purchased for Rs Let x metre be the length of the cloth that can be purchased for Rs Since the length of the cloth and its cost are in direct variation, we have:.
Thus, the required length will be metre. How many men should be employed for digging 27 metre long trench of the same type in one day? Let x be the number of men required to dig a trench of 27 metre. Since the length of the trench and the number of men are in direct variation,. Thus, 44 men will be required to dig a trench of 27 metre. A worker is paid Rs for 6 days work. If his total income of the month is Rs , for how many days did he work?
Let x be the number of days for which the worker is paid Rs Since the income of the worker and the number of working days are in direct variation,. Thus, the required number of days is A woker is paid Rs for 8 days work. If he works for 20 days, how much will he get? Since the income and the number of working days are in direct variation, we have:.
Thus, the worker will get Rs for working 20 days. The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of gm produces an extension of 2. Let x gm be the weight that would produce an extension of Since the amount of extension in an elastic string and the weight hung on it are in direct variation, we have:.
Thus, the required weight will be gm. The amount of extension in an elastic spring varies directly with the weight hung on it. If a weight of gm produces an extension of 3. Let x cm be the extension produced by the weight of gm. Since the amount of extension in an elastic spring varies and the weight hung on it is in direct variation, we have:. Thus, the required extension will be 9. In 10 days, the earth picks up 2. How much dust will it pick up in 45 days?
Let the amount of dust picked up by the earth in 45 days be x pounds. Since the amount of dust picked up by the earth and the number of days are in direct variation,. Thus, In 15 days, the earth picks up 1. In how many days it will pick up 4. Let x be the number of days taken by the earth to pick up 4. Thus, the required number of days will be Login New User.
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