What is the constant of proportionality shown in the graph
1 answer:
The constant of proportionality represented by K will be 1/3 which is shown in the given graph.
<h3>What is the constant of proportionality?</h3>Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
The proportional relationship between x and y can be written symbolically as
That middle sign is called a sign of proportionality.
In the given graph x line and y line have been graphed.
Since the relation between them has been represented by a straight line, so their relationship can be represented by
x = K × y
where K is the proportionality constant.
Now K =
=
= 1/3
therefore, the constant of proportionality will be 1/3.
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Answer:
1: The initial value for option one is not charged
The rate of change for option 1 is $80/hr
Step-by-step explanation:
1. From the pricing options at the car dealership we have;
Option 1
Initial value = Not stated
Fee rate per hour of work = $80
Option 2
Standard fee = $100
Fee rate per hour of work = $400
The initial value for option one is not charged
The rate of change = The increase in payment for each increase in one hour of work = $80/hour
Mathematically, we have;