Given the following values.x=9,y=−3𝑥=9,𝑦=−3Create a direct variation equation...y=𝑦= Answer 1 Question 21 x𝑥And find y𝑦 when x=12𝑥=12:y=𝑦= Answer 2 Question 21
Question
Given the following values.x=9,y=−3𝑥=9,𝑦=−3Create a direct variation equation...y=𝑦= Answer 1 Question 21 x𝑥And find y𝑦 when x=12𝑥=12:y=𝑦= Answer 2 Question 21
Solution
The direct variation equation is y = kx, where k is the constant of variation.
Step 1: Find the constant of variation (k) using the given values of x and y. We know that x = 9 and y = -3. So, we can substitute these values into the equation to find k.
-3 = k * 9 So, k = -3/9 = -1/3
Step 2: Write the direct variation equation. Now that we know k = -1/3, we can write the direct variation equation as y = -1/3x.
Step 3: Find y when x = 12. Substitute x = 12 into the equation to find y.
y = -1/3 * 12 = -4
So, when x = 12, y = -4.
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