Which linear inequality is graphed In the figures
1 answer:
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Answer:
1. Tracie's bus travels towards her home at an average speed of miles per minute.
Step-by-step explanation:
From the graph, we see that,
X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).
Also, the graph of the function is decreasing by 1 miles for every 2 minutes.
That is, the distance from home is decreasing as the time increases.
That is, the bus is getting closer to the home.
Further, as the distance is decreasing by 1 mile for every 2 minutes.
Thus, the rate of decrease is miles per minute.
As we know,
<em>So, the slope represents the speed of the bus travelling towards home.</em>
That is, 'Tracie's bus travels towards her home at an average speed of miles per minute'.
Answer:
For maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.
Step-by-step explanation:
Let the length of the rectangular exercise run = l ft
and width of the run = w ft
Sinoman has to cover a rectangular exercise run from three sides with the fencing material,
So length of the material = (l + 2w) ft
l + 2w = 100
l = 100 - 2w --------(1)
Area of the rectangular area covered = Length × width
A = lw
A = w(100 - 2w) [(l = 100 - 2w)from equation (1)
For maximum area we find the derivative of area and equate it to zero.
A' = 100 - 4w
For A' = 0
100 - 4w = 0
4w = 100
w = 25 ft
From equation (1)
l = 100 - 2w
l = 100 - 2×(25)
l = 50 ft
Therefore, for maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.
