A check on proportionality in eighth grade math (4th grade) is always necessary. The chapter on proportionality in math is mandatory for the student to understand.
Proctored homework on proportionality.
Exercise 1:
Among these tables, which is the one that reflects a proportionality? If it is the case, specify the value of the proportionality coefficient a.
|
Table A |
|
|
|
Table B |
|
|
|
|||
|
x |
4 |
6,5 |
13 |
x |
4 |
6,4 |
12 |
|||
|
y |
16 |
26 |
52 |
y |
10 |
16 |
30 |
Exercise 2:
a) A galloping horse travels 7.50 meters in one second. Marc, on his bicycle, is moving at a speed of 26 km/h.
Who is the fastest? Justify your answer.
b) A pedestrian takes 1h30 min to walk 7,5 km. What is his speed in m/s ?in km/h ? ( rounded to the nearest 0,1 )
Exercise 3:
Determine the unknown values so that this table is a proportionality table.
|
Height (in m) |
4 |
….. |
7 |
|
Volume (in L) |
16 |
25 |
….. |
Exercise 4:
A tap is opened and the amount of water flowing out is measured according to the time.
We obtain the following graph:
Abscissa: 1 square represents 10 seconds,
Ordinate: 1 tile represents 3 liters.
a) Does this graph reflect a situation of proportionality?
Justify the answer ?
b) Graphically indicate the quantity of water flowing in :
30 sec; 1 min; 1 min 30 sec.
c) Graphically indicate the time to fill a tank with :
48 liters; 6 liters; 21 liters.
d) Determine graphically the value of the proportionality coefficient.
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