Direct proportionality - practice problems - page 5 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
- Nicolette
Nicolette makes a small bead bracelet using five red, eight purple, and six green beads. A large necklace has the same ratio of beads as a small bracelet. If the large necklace requires 15 red beads, how many purple beads are needed to make a large bracel
- Carbohydrates
Suppose five pieces of candy contain 11 grams of carbohydrates. How many grams of carbohydrates do 20 pieces contain?
- Mrs. Sojka
Mrs. Sojka gave her class 12 minutes to read. Natalie read 7 1/2 pages in the time. At what rate in pages per hour did Natalie read?
- Garden tree
Anna is drawing a picture of her garden. A tree is 9 meters high, and she draws it as 13.5 cm tall in her drawing. If a flowering plant is 40 cm high in reality, how will Anna have to draw it to keep the proportion correct?
- Car fuel
Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using a 1/2 tank of gas? Enter your answer as a mixed number in the simplest form in the box.
- Germinate 75304
Out of 150 seeds, 12 did not germinate. How many seeds will not germinate if we sow 450 of them?
- Which 12
Which table shows a proportional relationship between x and y? A) x 3 9 10 15 y 1 3 4 5 B) x 2 3 5 6 y 3 4 7 9 C) x 1 5 8 10 y 15 75 120 150 D) x 4 6 8 10 y 6 8 10 12
- Pamela 2
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional. How many kilometers can Pamela drive wi
- Mackie's
Mackie's income varies directly from the number of days that she works. If she earns 8000 pesos in 20 days, how much will she earn if she works three times as long?
- Seed drills
The tractor driver connected two seed drills behind the tractor and sowed 7 ha of grain in 5 hours. How many hectares did he plant in 8 hours the next day if he connected three seed drills?
- Relay 2
Marco Racer's best time in the 100-yard relay is 15 1/4 seconds. How many seconds would it take him to run 450 yards at the same rate?
- You want
You want to buy additional land in the shape of a rectangle with a width of 2,500 cm and a length of 0.065 km. If the price is Php 150,000/hectare, how much peso do you need to pay?
- Determine 70834
At the same time, a vertical 2-meter pole casts a shadow of 0.85 meters. At the same time, a chimney of unknown height casts a 45m long shadow. Determine the height of the chimney.
- Tax reports
If 1 1/2 accountants can do 2 1/2 tax returns in 1 1/2 hours, how many tax returns can three accountants do in 3 hours?
- Street 70104
What length will the 120 m long street have on the plan at a scale of 1:1500?
- Lightning 69734
The sound travels at a speed of 1km in 3 seconds. If the thunder is heard 12 seconds after the lightning, what distance is the storm?
- A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities?
- Hectoliters 68174
In the meat atlas published by the Jindřich Boll Foundation, it is stated that one kilogram of meat requires 6.5 kg of grain, 36 kg of feed mixture, and 15 cubic meters of water. Laura's slice of beef in the burger weighed 45 grams raw. How many kilograms
- Workshops 67984
Thirty-two tons of oranges are processed in eight workshops with 40 employees each. How many workers process 9 tons of oranges in 9 workshops?
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