Direct proportionality - practice problems
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: 631
- Numbers at ratio 2
Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. Find the sum of the numbers. - Gasoline 15
A car consumes 8 liters of gasoline for 20km. How far can it go for 36 liters? - A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - Proportional relationship 3
Which table below shows a proportional relationship? A. x ; y 3; 12 4; 16 5; 20 6; 24 7; 28 B. x ; y 3; 15 4; 20 5; 25 6; 35 7; 40 C. x ; y 3; 24 4; 32 5; 45 6; 48 7; 56 D. x ; y 3 ; 21 4; 24 5; 35 6; 42 7; 49
- The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - The restaurant
The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office? - Miniature train
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? - It takes 2
It takes 7 1/5 seconds for a jet to fly 1 km. How long does it take for this jet to fly 3/4 of a km? - The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light
- Glue strength
At 40°C, it takes 3 hrs to get 125% glue strength. How long does it take to get 100% at 50 ˚C? The higher the temperature, the faster it cures the glue. - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - David 5
David was riding his bicycle at a speed of 26.5 kilometers per hour (km/h). Use the fact that 1 kilometer is approximately equal to 0.6214 miles to convert this speed to miles per hour (mile/h) - Inheritances
According to a will, the inheritance is to be divided among 2 sons and 1 daughter. The ratio of the amount given to the eldest son to the amount given to the daughter is 2:1 the ratio of the amount given to the youngest son to the amount given to the daug
- A statue
A statue on a shelf is recreated on a computer screen. The actual statue is 14 in. tall and 4 in. wide. The statue on the computer screen is 1.5 in. wide. How tall is the statue on the computer screen? - Employees 16
There are 3 full-time employees in your office for every 5 who are part-time. If there are 25 part-time employees, how many full-time employees are there? - The distance 3
The distance covered by car in 1 hour is 38 1/2 km. Find the distance it will cover in a) 3 1/2 hours, b) 5 hours. - Percentage 83199
The selling price is 5.75 EUR, and the buying price is 4 EUR. By what percentage was the price increased? - Proportional 83174
For the lever to be balanced, the arms' lengths must be inversely proportional to the weight ratio of the weights suspended on these arms. Complete the data: 30 cm, 10 cm, 4 kg, and? kg.
If you plant seedlings in the bed at a distance of 20 cm, 40 will fit here. How many seedlings will fit here if you reduce the distance between them to 15 cm?Do you have homework that you need help solving? Ask a question, and we will try to solve it.
