Question
The variables x and y vary inversely with a constant of variation of 7. Use the inverse variation formula, k = xy, to find y when x = 9.
(1 point)
Responses
79
7 9
97
9 7
15
15
63
(1 point)
Responses
79
7 9
97
9 7
15
15
63
Answers
GPT-4o mini
In inverse variation, the relationship between \( x \) and \( y \) can be expressed as:
\[
k = xy
\]
where \( k \) is the constant of variation. Given that \( k = 7 \), we can use the formula to find \( y \) when \( x = 9 \):
\[
7 = 9y
\]
To solve for \( y \), we divide both sides by 9:
\[
y = \frac{7}{9}
\]
Since \( \frac{7}{9} \) is the value of \( y \), it does not match any of the options provided (79, 7 9, 97, 9 7, 15, 15, 63).
Make sure to check if there are any errors in the options listed. Otherwise, the calculated value is \( y = \frac{7}{9} \).
\[
k = xy
\]
where \( k \) is the constant of variation. Given that \( k = 7 \), we can use the formula to find \( y \) when \( x = 9 \):
\[
7 = 9y
\]
To solve for \( y \), we divide both sides by 9:
\[
y = \frac{7}{9}
\]
Since \( \frac{7}{9} \) is the value of \( y \), it does not match any of the options provided (79, 7 9, 97, 9 7, 15, 15, 63).
Make sure to check if there are any errors in the options listed. Otherwise, the calculated value is \( y = \frac{7}{9} \).