Suppose v varies directly as g, and v=36 when g=4. Find v when g=11
Blurting out an answer serves no purpose, ....
especially if you state the wrong answer.
v = kg
when v = 36, g= 4
36 = 4k
k = 9
then v = 9g
when g = 11
v = 9(11) = 99
or by ratio
v/36 = 11/4
v = 36(11/4) = 99
To find the value of v when g=11, we can use the direct variation equation. The direct variation equation can be written as:
v = k * g
where k is the constant of variation.
To solve for k, we can substitute the given values into the equation:
36 = k * 4
To find k, we divide both sides of the equation by 4:
k = 36 / 4
k = 9
Now that we know the value of k, we can substitute it back into the direct variation equation:
v = 9 * g
Finally, we substitute g=11 into the equation to find v:
v = 9 * 11
v = 99
Therefore, when g=11, v=99.