I would appreciate the steps to the answer please...
Suppose that y varies inversely with x, and y = 6 when x = 8. What is an equation for the inverse variation?
• y = x/48
• y = 2x
• x = y/2
• y = 48/x
xy=k is the inverse variance equation
Since 8*6 = 48, we have
xy = 48
or
y = 48/x
Thanks much!
To determine the equation for inverse variation, you need to use the formula for inverse variation, which is written as y = k/x, where k is the constant of variation.
Step 1: Start with the given information that y varies inversely with x.
Step 2: Use the given values to find the value of k. In this case, when x = 8, y = 6.
Step 3: Substitute the values into the formula to solve for k:
6 = k/8
Step 4: Multiply both sides of the equation by 8 to isolate k:
k = 6 * 8 = 48
Step 5: Substitute the value of k back into the formula to obtain the final equation for inverse variation:
y = 48/x
Therefore, the correct equation for inverse variation from the given options is y = 48/x.