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Identify direct variation and inverse variation

Full solution

Q. Qualitative

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Quantitative

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Identify First Equation: Look at the first equation $(x) / (36) = y$ . Can it be written as $y = k / x$ ? $\newline$ No, because it's $y = x / 36$ , which is not the form of inverse variation.
Analyze First Equation: Now, look at the second equation $yx = -74$ . Can it be written as $y = \frac{k}{x}$ ? $\newline$ Yes, it can be rearranged to $y = \frac{-74}{x}$ , which is the form of inverse variation.

More problems from Identify direct variation and inverse variation

Question

In a direct variation,

y = 6

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

Posted 3 months ago

Question

y

varies directly with

x

y = 12

x = 6

y

x = 4

\newline

Write and solve a direct variation equation to find the answer.

\newline

y =

Posted 2 months ago

Question

Which equation shows inverse variation?

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\newline

(\frac{x}{36}) = y

\newline

yx = -74

Posted 3 months ago

Question

y

varies inversely with

x

y = 1

x = 4

y

x = 2

\newline

Write and solve an inverse variation equation to find the answer.

\newline

y =

Posted 2 months ago

Question

What is the value of

\frac{x^{2}}{y^{4}}

x=8

y=2

Posted 21 days ago

Question

(x+4)(2 x-a)=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=4

x=-4

, what is the value of

a

Posted 2 months ago

Question

(2 x+5)(-m x+9)=0

\newline

In the given equation,

m

is a constant. If the equation has the solutions

x=-\frac{5}{2}

x=\frac{3}{2}

, what is the value of

m

Posted 2 months ago

Question

(4 x+3)-(5 x-7)=a x+b

\newline

In the given equation,

b

is a constant. What is the value of

b

Posted 2 months ago

Question

y=\frac{29}{8} x-\frac{2}{3}

\newline

The given equation is graphed in the

x y

-plane. What is the slope of the line?

Posted 2 months ago

Question

a t^{2}+\frac{7}{2} t-4=0

\newline

The given equation has solutions at

t=-8

t=1

. What is the value of the constant

a

Posted 1 month ago