Question

Consider the equality xy=k. Write the following inverse proportion: y is inversely proportional to x. When y = 2, x = 14.

Answer 1

$\huge\text{Hey there!}$

$\huge\textbf{Equation \#1.}$

$\mathbf{\dfrac{2}{1} = \dfrac{k}{14}}$

$\huge\textbf{Cross multiply the given numbers}\\\huge\textbf{you have listed.}$

$\mathbf{2\times14 = k \times1}$

$\mathbf{2\times14 = 1\times k}$

$\mathbf{28 = 1k}$

$\mathbf{1k = 28}$

$\huge\textbf{DIVIDE 1 to BOTH SIDES}$

$\mathbf{\dfrac{28}{1} = \dfrac{1k}{1}}$

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{k = \dfrac{28}{1}}$

$\mathbf{k = 28}$

$\huge\text{Therefore, your answer is: \boxed{\mathsf{k = 28}}}\huge\checkmark$

$\huge\textbf{Equation \#2.}$

$\mathbf{\dfrac{1}{k} = \dfrac{14}{2}}$

$\huge\textbf{Cross multiply the given numbers}\\\huge\textbf{you have listed.}$

$\mathbf{1\times 2 = 14\times k}$

$\mathbf{2 = 14k}$

$\mathbf{14k = 2}$

$\huge\textbf{DIVIDE 14 to BOTH SIDES}$

$\mathbf{\dfrac{14k}{14} = \dfrac{2}{14}}$

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{k = \dfrac{2}{14}}$

$\mathbf{k = \dfrac{2\div2}{14\div2}}$

$\mathbf{k = \dfrac{1}{7}}$

$\huge\text{Therefore, your answer is: \boxed{\mathsf{k = \dfrac{1}{7}}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitritr1040:)}$