Manuel is riding his bike. The graph represents the distance Manuel travels from his house over time. Describe what is happening
as depicted in the graph.
1 answer:
Answer:
Manuel is moving with a constant speed and reach his destination at 5 units distance from his house after 3 units of time.
He took rest at his destination for 4 units of time.
Then he reach his house at 5 units distance in 1 unit time.
Step-by-step explanation:
See the graph attached.
Manuel is riding his bike.
As the graph shows that Manuel starts his journey from his house and the time counts starts and then he is moving at a constant speed and reach his destination at 5 units distance from his house after 3 units of time.
The constant speed is units.
Then he took rest at his destination for 4 units of time.
After that, he again starts to move towards his house at a constant speed and reach his house at 5 units distance in 1 unit time.
Therefore, his speed of return is units. (Answer)
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Answer:
The maximum is at (0,4)
Step-by-step explanation:
x≥0
y≥0
x+y ≤4
2x+y ≤6
We need to plot the four inequalities. The left side has no axis. The max is at 4. The minimum is at 0 for the shaded area
When we have a system of constraints, the minimum and maximum are at the vertices of the graph
There are 4 points
(0,0)
The intersection point of the 2 lines which is (2,2)
The intersection at the y axis (0,4)
The intersection at the x axis is (3,0)
Once we have these points we put them into the constraint equation
C = 30x+50y
(0,0)
C = 0+0 = 0 This would be the trivial point since nothing happens
(0,4)
C = 0+50(4) = 200
(3,0)
C = 30*3 = 90
(2,2)
C = 30(2) + 50(2) = 60+100 = 160
The maximum is at (0,4)
Answer: a) 792 ways b) 13⁷.
Step-by-step explanation:
Since we have given that
Number of apples to be given = 5
Number of bananas to be given = 7
Number of people = 12
So, Number of ways that each person gets a pieces of fruit is given by
b) If the number of people = 13
Number of apples to be given = 7
So, Number of ways would be
Hence, a) 792 ways b) 13⁷.