A bag has 15 marbles—5 blue, 8 green, and 2 red. One marble is drawn from the bag and then replaced, and this action is repeated
20 times. The results are recorded in the table. What is the experimental probability in the simplest form of selecting a blue marble from the bag?
A. 1/20
B. 7/20
C. 1/3
D. 3/5
A. 1/20
B. 7/20
C. 1/3
D. 3/5
2 answers:
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we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx
so
That means it's the equation of a line passing through the origin.
case a) and case d) are discarded because the line does not pass through the origin
<u>case b) we have</u>
for x=2 y=4
y/x=k-------> 4/2=2------> k=2
y=2x-------> in this case the value of y is two times the value of x
<u>case c) we have</u>
for x=4 y=2
y/x=k-------> 2/4=1/2------> k=(1/2)
y=(1/2)x-------> in this case the value of y is one-half of the value of x
therefore
the solution is the case c) see the attached figure
