Jim paddles from one shore of a lake three miles wide at 4 mph, and John paddles from the opposite shore at 5 mph. How long will
1 answer:
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Answer:
The equation of line shown in the graph is
Step-by-step explanation:
We need to find equation of the line shown in graph.
The equation of line will be in slope-intercept form where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding y-intercept
Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.
So, when x =0, y=-1
So, y-intercept is -1
Finding Slope
Now, for finding slope, consider 2 points on graph
(0,-1) and (-2,0)
Slope can be found using formula:
We have
Putting values and finding slope:
So, slope is
Equation of line
Now, equation of line having slope and y-intercept b = -1 is
So, equation of line shown in the graph is
Solution
For this case we can create the following schema
We can use the definition of distance:
x= vt
We can find the relative velocity:
And the distance between both is required to be 2 mi so then we can find the time like this:
Then the answer is:
1 hr
