Question

q is directly proportional to r
q is 76 when r = 20
calculate q when r is 45

Answer 1

76/20=q/45

q=171.......

Answer 2

The value of q is 171.

Step-by-step explanation:

Given : q is directly proportional to r , q is 76 when r = 20.

To find : Calculate q when r is 45 ?

Solution :

q is directly proportional to r,

i.e. $q\propto r$

So, $q=kr$

Where, k is constant of proportional.

Substitute q=76 and r=20,

$76=k(20)$

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

$k=3.8$

The equation became, $q=3.8r$

Now, substitute r=45 and get value of q

$q=3.8\times 45$

$q=171$

Therefore, the value of q is 171.

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