p varies directly as q. when q = 31.2, p = 20.8. Find p when q = 15.3.

Solution:

Direct variation can be expressed in the form y = kx.

Given,

p= 20.8 and q= 31.2

To find k,

k = q/p

k = 31.2/20.8 = 1.5

The linear equation is q = 1.5p

When q= 15.3

15.3 = 1.5p

p = 15.3/1.5 = 10.2

Therefore, the value of p is 10.2.

p varies directly as q. when q = 31.2, p = 20.8. Find p when q = 15.3.

Summary:

p varies directly as q. When q=31.2, p = 20.8. The value of p when q = 15.3 is 10.2.