Direct proportionality - practice problems - page 7 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
- Gas price
If a cm³ of gas costs RM 1.50, how many cents would a liter of gas cost? 1 rm = 1 Malaysian Ringgit = 100 Malaysian Ringgit cents = equals 0.21 Euro in 2021/Q3
- Oil crisis
A car runs 16 km using 1 liter of petrol. How much distance will it cover using 2 3/4 liters of petrol?
- If Jada
If Jada read 75 pages in four hours, how long would it take her to read 250 pages?
- Markus painter
Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint are needed to cover 12 ¼ square meters of the wall?
- Strawberries
Three people pick strawberries from 48 rows in 8 hours. How many hours do five people need to pick strawberries from 20 rows?
- Colorado
The state of Colorado is a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster?
- The bricklayer
The bricklayer built a six-meter base of the fence in 3 hours. How long does it take to build a 14 meters long base?
- Percentage: 54311
Percentage: Increase and decrease- (x + 5) by 25%.
- Workers 54253
Four workers packed the goods with the same output in 6 hours. In how many hours would five workers do the same job? Express it in hours and minutes.
- Obtained 54243
We obtained 4200 g of roasted coffee from 5 kg of green coffee. How many g of green coffee do we need to roast to get 10 kg of roasted coffee?
- Cornbreads
If four and a half teaspoons of baking powder are needed to make ten servings of cornbread, how many teaspoons are needed to make 25 servings?
- Two-fifths
Two-fifths (2/5) of a pound of chicken for each person. How many pounds of chicken are required if eight people are to feed?
- Petrol as fuel
A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters. The fuel gauge shows there are 15 liters left in the tank. How many more miles can the car travel before it runs out of petrol?
- The printer
A total of 6 pieces of book covers were printed in 0.12 hours. Each piece of the book cover was published in equal time. Calculate the time, in hours, to print 30 book covers.
- A map 4
A map represents every 4 miles with 1 inch. If a school and a bank are 12 miles apart, how far apart are they on the map, in inches?
- A cook
A cook wants to make enough cookies for 159 students. The cookie recipe makes 1 1/4 dozen cookies. A dozen equals 12. How many batches must the cook make if each student gets one cookie?
- Hour salary + fix
Devin recently hired a contractor to do some necessary work. The contractor quoted $395 for parts plus $62 an hour for labor. Let x represent the number of labor hours worked. Write an algebraic expression to represent the total cost of the repairs.
- Intersection of functions
Draw a graph of the function given by the equation y = -2x +3, find its intersections with the coordinate axes, and complete the unknown coordinates A [3;? ], B [?; 8].
- Meters 48383
How many meters of wire is in a bundle of 900 g if 10 meters of wire weighs 150 g?
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