P varies partly as q and partly as the square of r when p=6 q=8 r=4 and when p=10 q=12 r=5

2 answers

The equation for this is:

P = (6q/8)r^2 + (10q/12)r
No Mr. bot, it is not !!!!

P varies partly as q and partly as the square of r
----> P = kq + mr^2
case1: p=6 q=8 r=4
6 = 8k + 16m , ----> 3 = 4k + 8m ,**
case2: p=10 q=12 r=5
10 = 12k + 25m ,***

** times 3 : 9 = 12k + 24m
*** leave it: 10 = 12k + 25m
subtract them
1 = m
sub into 3 = 4k + 8m
3 = 4k + 8
k = -5/4

P = -5/4 q + r^2