Direct proportionality - practice problems - page 6 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Transported 67924
On Thursday, 240 skiers had to be transported, and two buses took 30 minutes to do so. If there were 660 skiers on the piste and three buses were used, how long did the transport take on Saturday?
- Temporary 67594
Two temporary workers comb apples from 15 apple trees in 5 hours and 20 minutes. After two hours, three other temporary workers came to help them. How long did it take to comb apples from these 15 trees?
- Kilograms 65254
Twelve sheep will eat 5100 kg of hay in 17 days. How many kilograms of hay will seventeen sheep eat in 12 days? a) 1020kg b) 3600kg c) 5100kg d) 7225kg
- Gasoline 65034
My father refueled 40 liters of gasoline for 61.40 euros. He then refueled 8 liters of the same petrol into an empty canister. How many euros did gasoline cost in a canister?
- Address on the envelope
Jana helped mom write the addresses on the envelopes. It took her 3 minutes to write the first address and only 2 minutes to write each other. How many minutes will it take her to list the addresses (including the first one) if she works at this rate?
- Identical 63584
Water flows out of the tank in 28 minutes via three identical pipes. How long would it run through seven similar pipes?
- The proportion
Solve for N in this proportion: 6/5=30/N?
- Dimensions 60923
The drawing of the apartment is in the ratio of 1:200. The living room has dimensions of 2cm x 3cm in the picture. How many square meters does the living room have?
- Sack of rice
A 50-kilogram sack of rice has a price of ₱1 750. How much do you pay if you only buy 35 kilograms of it?
- The speed
A moving object's speed (v) is inversely proportional to the time (t) traveled and is written as?
- Jointly and cube power
If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation representing this relationship. a. y=xz b. y = 2xz³ c.y = 2kx/z³ d.y = xz³/2
- Direct proportion
y varies directly as x and y=32 when x=4. Find the constant of variation.
- Square function
If z varies jointly as x and the square of y, and z = 20 when x = 4 and y = 2, find z when x = 2 and y = 4.
- Jointly function
If z varies jointly as x and y, and z = 12 and x = 2 and y = 4, find z when x = 5 and y = 2
- Distance 59303
The map has a scale of 1:2500000, and we measured a distance of 4 cm on the map. What is the distance in km?
- The cost 4
The cost to tile a floor that measures 7 x 6 square feet is $ 2,100. How much will tile a floor measuring 11 x 13 square feet cost?
- Volleyball 2
In a volleyball game, Michael made four shots in 8 tries. At this rate, how many shots can he make in 12 tries?
- Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment?
- Earnings 2
Trina's paycheck earnings vary directly from the number of hours she works. If she works 19 hours and earns 187.15 pesos, what should she earn if she works 40 hours?
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