A Point Moves Along the Curve $3 y + y ^ { 2 } - 8 x = 2$

question 2

Multiple Choice

A point moves along the curve $3 y + y ^ { 2 } - 8 x = 2$ . When the point is at $\left( - \frac { 1 } { 2 } , - 1 \right)$ , its $x$ -coordinate is increasing at the rate of 3 units per second. How fast is its $y$ -coordinate changing at that instant of time?

• A) 24 units/sec
• B) 26 units \(/ \mathrm { sec }\)
• C) \(- 24 \mathrm { units } / \mathrm { sec }\)
• D) \(- 22\) units \(/ \mathrm { sec }\)

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