A) An aquarium 30cm by 16cm by Mcm is filled with water. If the capacity of the aquarium is 1440cm³, calculate the value of M.
2 answers:
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Question: (a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?
Answer:
Given equation is y = 6x + 8.
Where y represents the number of baskets of berries the workers picked over a period of time x in hours.
Compare with slope intercept form y=mx+b, we get m=6 and b=8
Hence slope is 6 and y-intercept is 8.
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Question: (b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
Answer:
Rate of change means slope so answer is 6.
Initial amount means y-intercept so that is 8.
rate of change of 6 means six baskets of berries are picked by workers in 1 hour.
Initial amount of 8 means there was 8 baskets of berries already filled in the beginning.
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Question: (c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.
Answer:
first we graph y-intercept that is at point (0,8)
slope = 6 means make another point which is 6 unit up then 1 unit right from (0,8) so the new point is at (1,14)
Hence final graph is the line joining both points.
Answer:
Step-by-step explanation:
y = 6x − 4
y = 5x − 3
A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b
x y=6x-4 y=5x-3
1 y=2 y=2
2 y=8 y=7
0 -4 -3
slope :
y=6x-4 slope is 6 y intercept(0,-4)
y=5x-3 slope is 5 y intercept (0,-3)
solution of the pair of equation is the point of intersection :
6x-4=5x-3
6x-5x=-3+4
x=1 and y=6x-4 ⇒ y=6-4=2
<h2>(1,2)</h2>
Answer:
"125 callers" is the right answer.
Step-by-step explanation:
Given values:
Arrival calls rate,
= 25 per minute
Talking time,
= 4 minutes
Hold time,
= 1 minute
The flow time will be:
=
=
Flow rate,
=
=
By using the Little's law,
⇒
By substituting the values, we get
Thus the above is the correct approach.