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Thus, these exercises with their correction will allow you to note your errors and to progress throughout the school year.
Series of exercises on proportionality
Exercise 1:
Are the tables below proportional tables?
Exercise 2 proportionality :
For each proportionality table, calculate the value of the fourth proportional.
Exercise 3:
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- A car drives at 85 km/h; give its speed in meters per second. (m/s)
- The flow of a river is 27
per second (
/s). How is this flow rate expressed in liters per minute?
- A cyclist travels 13 km in 16 min. What is its speed in km/h?
Exercise 4 proportionality:
Thermal insulation can reduce heating costs by 12%.
- What was the expense before insulation if we pay after 4 254,80 €.
Exercise 5:
On a 1:25,000 scale I.G.N. map, the distance d corresponds to a distance D on the ground.
- Express d as a function of D , then D as a function of d.
- What distance on the ground corresponds to a distance of 12 cm on the map?
- What distance on the map corresponds to a distance on the ground of 1.8 km?
Exercise 6
The mass of one meter of a certain wire is 30 g.
- Determine and graph the mass versus the length of the wire.
- Show how the mass of 5 meters of wire can be read on this graph.
- Show how the length of a wire weighing 235 g can be read from this graph.
Exercise 7
A car consumes 6 liters of gasoline to travel 100 km at a speed of 90 km/h. We denote by d the distance traveled and by x the quantity of gasoline used.
- Calculate the fuel consumption for 1 km.
- Calculate the distance traveled with 1 liter of gasoline.
- Graph the distance as a function of the amount of gasoline used.
- Show on this graph the distance that can be covered with 14 liters.
- Show on this graph the amount of gasoline needed to travel 420 km.
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