Question

The quantity A is partly constant and partly varies as the square of B
(A) write down the relationship between A and B, if a and b are constant when A=13,B=2 and when A=23 and B=3
(B) find the vale of B when A=55
So, you have A = a + bB
Now, you know that
a + 4b = 13
a + 9b = 23
It should be clear from this that b = 2, so now you can find a, and answer the rest.
The quantity A is partly constant and partly varies as the square of B
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