Question

q is directly proportional to r q is 76 when r is 20 work out q when r is 45

Answer 1

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Answer 2

The Value of 'q' is 171.

Step-by-step explanation:

Given:

q = 76

r = 20

q ∝ r

So we can say;

$q = kr$

Where k ⇒ Constant

Now we will first find the value of k by substituting the values of q and r.

$76 = k\times 20\\\\k = \frac{76}{20} = 3.8$

Now we need to find the value of q when r is 45.

$q = kr$

Substituting the value of k and r to find q we get;

$q= 3.8\times 45 = 171$

Hence the Value of 'q' is 171.