Answer:
A cubic function
Step-by-step explanation:
When you multiply powers of a same base, the exponents sum. So, if we multiply a function like with a function like
we get
which is a cubic function, because it is written in the form
Use algebraic rules of equations to predict the solution to the system of equations. Include all of your work for full credit.
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.
