Question

If y varies directly as x, find the constant of variation and the direct variation for the situation.y=35 when x=15

Answer 1

The constant of variation is

k = (7/3) = 2⅓

Step-by-step 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!!!