A quantity p varies partly t and partly as the square of t, when t=20, p=45 and when t=24, p=60. (i) Express p in terms of t.(ii) Find p when t=32
Question
Solution 1
The problem states that p varies partly as t and partly as the square of t. This means we can express p as:
p = kt + ct²
where k and c are constants that we need to find.
Given that when t=20, p=45 and when t=24, p=60, we can form two equations:
45 = 20k + 400c ...(1) 60 = 24k + 576c ...(2)
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