Problem 2
Question
Write an equation that expresses each relationship. Use \(k\) as the constant of variation. \(v\) varies directly as \(r\)
Step-by-Step Solution
Verified Answer
The equation of the direct variation is \(v = kr\).
1Step 1: Identify the Variables
Identify the variables in the problem. Here, \(v\) and \(r\) are the variables.
2Step 2: Recognize the Type of Variation
Recognize the type of variation in the statement. Here, 'varies directly as' indicates that this is a direct variation. This also means that \(v \) and \(r\) increase and decrease together.
3Step 3: Write the Equation of Variation
Now, write the equation for direct variance, which is \(y = kx\). Substitute \(v\) for \(y\), \(k\) for \(k\), and \(r\) for \(x\). So the equation becomes \(v=kr\).
Other exercises in this chapter
Problem 1
Divide using long division. State the quotient, \(q(x),\) and the remainder, \(r(x)\) $$\left(x^{2}+8 x+15\right) \div(x+5)$$
View solution Problem 2
In Exercises \(1-10\), determine which functions are polynomial functions. For those that are, identify the degree. $$f(x)=7 x^{2}+9 x^{4}$$
View solution Problem 2
In Exercises \(1-8,\) find the domain of each rational function. $$f(x)=\frac{7 x}{x-8}$$
View solution Problem 2
Use the Rational Zero Theorem to list all possible rational zeros for each given function. $$ f(x)=x^{3}+3 x^{2}-6 x-8 $$
View solution