Question

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

2/1 = k/14

1/k = 14/2

Answer 1

`\huge\text{Hey there!}`

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

`\mathbf{(2)/(1) = (k)/(14)}`

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

`\mathbf{2*14 = k *1}`

`\mathbf{2*14 = 1* k}`

`\mathbf{28 = 1k}`

`\mathbf{1k = 28}`

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

`\mathbf{(28)/(1) = (1k)/(1)}`

`\huge\textbf{SIMPLIFY IT!}`

`\mathbf{k = (28)/(1)}`

`\mathbf{k = 28}`

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

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

`\mathbf{(1)/(k) = (14)/(2)}`

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

`\mathbf{1* 2 = 14* k}`

`\mathbf{2 = 14k}`

`\mathbf{14k = 2}`

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

`\mathbf{(14k)/(14) = (2)/(14)}`

`\huge\textbf{SIMPLIFY IT!}`

`\mathbf{k = (2)/(14)}`

`\mathbf{k = (2/2)/(14/2)}`

`\mathbf{k = (1)/(7)}`

`\huge\text{Therefore, your answer is: \boxed{\mathsf{k = (1)/(7)}}}\huge\checkmark`

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