200x-300y=600 graph linear equation
1 answer:
<u>Explanation</u>
Slope= 2/3
Y intercept= -2
x y
0 3
----------------
-2 0
Linear equations are those equations between variables that give a straight line when plotted on the graph.The standard form for linear equations in two variables is Ax+By=C.
linear equation refers implicitly to the case of just one variable. Here the linear equation 200x-300y=600 gives straight line when plotted on the graph.
The graph linear equation means the linear equation has to be plotted on the graph. After plotting it on the graph we get straight line passing x and y axis. The graph has been attached to the answer.
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Answer:
The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.
Step-by-step explanation:
This is a problem of optimization.
We have to minimize the time it takes for the lifeguard to reach the child.
The time can be calculated by dividing the distance by the speed for each section.
The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.
Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:
Then, the time (speed divided by distance) is:
To optimize this function we have to derive and equal to zero:
As , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.
