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Len [333]
3 years ago
14

Suppose j varies jointly with g and v, and j=1 when g=6 and v=3.

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0
"Joint variation<span>" means "directly, but with two or more variables". Thus, we write as follows:

j </span>α gv
<span>
We insert proportionality constant k, to change it to equality.

j = kgv

We solve k,

1 = k (4)(3)
k =1/12

j = gv/12
j = 8(11)/12
j = 22/3</span>
monitta3 years ago
3 0

Answer:

The constant of variation is \frac{1}{18}

Value of j is \frac{44}{9}

Step-by-step explanation:

Given,

j varies jointly with g and v,

That is,

j ∝ gv

⇒ j = k(gv)

Where, k is the constant of variation,

We have, j = 1 when g = 6 and v = 3

⇒ 1 = k(6 × 3) ⇒ 1 = 18k ⇒ k = \frac{1}{18}

Thus, the equation that shows the given relation in j, g and v is,

j=\frac{1}{18}(gv)

If g = 8, v = 11,

j=\frac{1}{18}\times 8\times 11=\frac{88}{18}\implies j=\frac{44}{9}

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