Question

h is inversely proportional to p p is directly proportional to t Given that h = 9 and t = 64 when p = 4 find a formula for h in terms of t Write any fraction in the form a/b​

Answer 1

If h is inversely proportional to p, and p is directly proportional to t, we can write the formula for h as h = k/t, where k is a constant.

Since h = 9 when p = 4 and t = 64, we can substitute these values into the formula to find the value of k: 9 = k/64. Solving this equation for k, we find that k = 576.

Therefore, the formula for h in terms of t is h = 576/t. This fraction is already in the form a/b, with a = 576 and b = t.