Answer
The constant of variation is
k = (7/3) = 2⅓
Explanation
If y varies directly as x, we can write the relationship as
y ∝ x
Introducing the constant of variation, k, we have
y ∝ x
y = kx
We are then asked to calculate k when y = 35 when x = 15
y = kx
35 = (k) (15)
35 = 15k
we can rewrite this as
15k = 35
Divide both sides by 15
(15k/15) = (35/15)
k = (35/15) = (7/3) = 2⅓
Hope this Helps!!!
