12:55 P.M. the movies was 2 hours and 25 minutes long after the movies they played a card game for 1 hour and 25 minutes and the
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Answer:
Both functions have negative rates of change
Function B has a greater rate of change than Function A
Step-by-step explanation:
we know that
<em>Function A</em>
The rule for Function A is
This is the equation of a proportional relationship (the line passes through the origin)
The slope is equal to
<em>Function B</em>
Find the equation of the function B
we have the points (-2,0) and (0,-2)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the values
The equation of the function B in slope intercept form is equal to
we have
substitute
<u><em>Verify each statement</em></u>
Option 1) Both functions have negative rates of change
The statement is true
Because, the rate of change is the slope of the linear equation
Function A ---->
Function B ---->
Option 2) Both functions have the same rate of change.
The statement is false (see the explanation)
The rate of change are different ( m=-2/3 and m=-1)
Option 3) When graphed, Function A and Function B are parallel
The statement is false
When graphed, Function A and Function B are intersecting lines, because their slopes are different
Option 4) Function B has a greater rate of change than Function A
The statement is true
Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes
therefore
1 > 2/3
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
<h3>What is Distance and Displacement ?</h3>Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
To know more about Distance and Displacement
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