Michael is walking from home to work. The function graphed represents the remaining distance to his work, in kilometers, x hours
after he starts walking.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
2 answers:
Let
x------> the time in hours
y------> the distance in kilometers
we know that
<u>The x-intercept </u>is the value of x when the value of y is equal to zero
In this problem the x-intercept is about the point
that means
The number of remaining hours it takes to walk to work is hours (about
minutes
<u>The y-intercept </u>is the value of y when the value of x is equal to zero
In this problem the y-intercept is the point
that means
The remaining distance from home to work after Michael starts walking is kilometers
therefore
the answer in the attached figure
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9514 1404 393
Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
