In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?
1 answer:
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Answer/Step-by-step explanation:
Given:
When Jada took 8 steps, Noah took 10 steps
When Jada took 12 steps, Noah took 15 steps
a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:
From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.
Use this ratio to create a table of 3 pairs of values as shown below.
Jada's Steps (x) ===> Noah's steps (y)
4 ===> 5
8 ==> 10
12 ==> 15
b. The graph of that shows this relationship has been attached below. Check the attachment.
c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.
Thus,
Constant of proportionality (k) = 15/12 = ⁵/4
This means, for every 5 steps taken by Noah, Jada takes 4 steps.
This relationship is represented by the equation, y = ⁵/4x.
The ⁵/4 in the equation is the constant of proportionality of their relationship.
d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.
In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.
In the table, the constant of change in each pair is ⁵/4 all through.
