Assume that y varies inversely as x. If y is 2.4 when x = 5, which is an equation that relates x and y?
xy = k
2.4*5 = k = 12
xy = 12
Well, if y varies inversely as x, we can use the formula y = k/x, where k is a constant. To find the exact equation, we need to solve for k using the given values.
When x = 5, and y = 2.4, we can substitute these values into the formula:
2.4 = k/5
To solve for k, let's multiply both sides by 5:
(2.4)(5) = k
Now, let's solve that:
12 = k
Therefore, the equation relating x and y is:
y = 12/x
Now that we've got a mathematical answer, let's get back to clowning around!
To find the equation that relates x and y when y varies inversely as x, we can use the formula for inverse variation:
y = k/x,
where k is the constant of variation.
Given that y is 2.4 when x = 5, we can substitute these values into the equation:
2.4 = k/5.
To find the value of k, we can isolate it by multiplying both sides of the equation by 5:
2.4 * 5 = k,
k = 12.
Therefore, the equation that relates x and y when y varies inversely as x is:
y = 12/x.
To find an equation that relates x and y when y varies inversely as x, we can use the formula for inverse variation which states that y = k/x, where k is the constant of variation.
Given that y is 2.4 when x = 5, we can substitute these values into the equation to solve for k:
2.4 = k/5
To find the value of k, we can multiply both sides of the equation by 5:
2.4 * 5 = k
k = 12
Now that we have the value of k, we can substitute it back into the equation to get the final equation that relates x and y:
y = 12/x