i have a homework assignment i do not know how to do. i was out sick so i have not learned this. hear is the question......y varies directly as x. find the constant of variation and write an equation for the direct variation.
question 1: y=15 when x=5
direct variation:
y= kx where k is the constant of variation.
15=k*3 find k.
y=kx
y=15
x=5
Shouldn't it be 15=k*5?
The anwser is y=3x
Becasue all you doing is divding 15 dy 5 to get k
To find the constant of variation and write an equation for the direct variation, you can use the formula for direct variation, which is y = kx, where y represents the dependent variable, x represents the independent variable, and k is the constant of variation.
In the given question, y = 15 when x = 5. By substituting these values into the equation y = kx, we can solve for k.
15 = k * 5
Divide both sides by 5:
3 = k
Therefore, the constant of variation (k) is 3. Now we can write the equation for the direct variation by substituting the value of k into the equation y = kx, resulting in:
y = 3x
So, the equation for the direct variation is y = 3x.