Answer:
The visitor should run 13 km due west from the tent
Step-by-step explanation:
Here we have;
Location of island = 3 km North of point on shoreline
Location of tent = 13 km East of point on shoreline
Running speed of visitor = 8 km/h
Swimming speed = 1 km/h
Distance of island from tent =
Since, time = distance/speed, it will take 13.34/1 hours or 13.34 hours to swim directly to the island.
However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;
13/8 Hr + 3/1 hr = 37/8 hours or 4.625 hours only.
Therefore, to minimize the time it takes to reach the island, the visitor has to run 13 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.
Answer:
see below for the graph
Step-by-step explanation:
The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.
Here's one way to get there.
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Start with the parent function y = |x| and scale it down so that it has a y-intercept of -1 and x-intercepts at ±1.
Now, it is ...
f(x) = |x| -1
We want to scale this vertically by a factor of -5. this puts the y-intercept at +5 and leaves the x-intercepts at ±1.
Horizontally, we want to scale the function by an expansion factor of 3. The transformed function g(x) will be ...
g(x) = -5f(x/3) = -5(|x/3| -1) = -5/3|x| +5
This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:
x = -(5/3)|y| +5
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<em>Comment on this answer</em>
Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.
