I believe it is c/6. Please correct me if I'm wrong.
Answer:
Step-by-step explanation:
The diagram shows lines passing through the points of two equations.
We will determine the points through which the lines pass through on the graphs.
Looking at the line on the right hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 4
x2 = 3, x1=0
Slope, m = (0-4)/3-0
Slope = -4/3
Recall the equation of a straight line is y = mx + c
Where c is the intercept.
So the equation is y
y = -4x/3 + 4
Looking at the line on the left hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 2
x2 = -1, x1 =0
Slope, m = (0-2)/-1-0
Slope = -2/-1 = 2
Applying equation of a straight line is y = mx + c
The equation
y = 2x + 2
So the equations are
-4x/3 + 4. If x lesser than or equal 0
2x + 2. If x greater than 0
The total time taken by Clem Shirestock to reach the gate is given by the equation 7 = 4√(x²+1)+ 8 - 2 x
Let the point P is at a distance of x miles from the toll gate.
Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.
So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).
Time taken to complete this route is 4√(x²+1) .
Now he has only to walk 4-x distance along the river.
His speed is 2 mph
Time taken = 2(4-x) = 8-2x
Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .
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We need a picture to answer this
