A "super ball" dropped from a height of x feet bounces to a height y that is 80% of x.
Can anyone please teach me how to find its numerical, algebraic, and graphical representations? Thanks a lot!!!
is it the numerical, algebraic, or graphical representations?
algebraic
Of course! I'll guide you through finding the numerical, algebraic, and graphical representations for the "super ball" scenario you described.
Numerical Representation:
To find the numerical representation, you need to know the initial height (x) and the bounce height (y). Let's assume the initial height is x = 100 feet. Since the bounce height (y) is 80% of the initial height (x), we can calculate y as follows:
y = 0.8 * x
= 0.8 * 100
= 80 feet
So, the numerical representation is x = 100 feet, y = 80 feet.
Algebraic Representation:
To find the algebraic representation, we can use variables to represent the initial height (x) and the bounce height (y). Let's use "h" to represent the initial height (x) and "b" to represent the bounce height (y). Therefore, we have:
b = 0.8 * h
This equation represents the relationship between the initial height (h) and the bounce height (b). It states that the bounce height is equal to 80% of the initial height.
Graphical Representation:
To create a graphical representation, we can plot a graph with the initial height (x) on the x-axis and the bounce height (y) on the y-axis. Let's consider a range of initial heights from 0 to 100 feet.
Plotting the points (0, 0) and (100, 80), we can draw a straight line connecting the two points. This line represents the relationship between the initial height and the bounce height. The slope of the line is 0.8, indicating that for every unit increase in the initial height, the bounce height increases by 0.8 units.
Therefore, the graphical representation would be a straight line with a slope of 0.8, passing through the points (0, 0) and (100, 80).
I hope this explanation helps you understand how to find the numerical, algebraic, and graphical representations of the "super ball" scenario!
y is 80% of x. you can write as
y = 0.8x since 80% = 0.8
for example,if x is 20m high, when the ball drops, and bounces back then y will be 0.8(20) = 16m
:)