Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y
Answer:
(a)
(b)
Step-by-step explanation:
Given
Solving (a): The constant of proportionality:
Pick any two corresponding x and y values
The constant of proportionality k is:
Solving (b): The equation
In (a), we have:
k can also be expressed as:
Substitute values for x1, y1 and k
Cross multiply:
Open bracket
Add 10 to both sides
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
<h3>What is sin function?</h3>It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
Learn more about the sin function here:
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