Question

What is the value of a?

Answer 1

`\text{We have:}\\\\f(x)=(a)/(x^3)\to y=(a)/(x^3)\\\\\text{and the point}\ \left(2,\ (5)/(4)\right)\to x=2,\ y=(5)/(4).\\\\\text{Substitute:}\\\\(5)/(4)=(a)/(2^3)\\\\(5)/(4)=(a)/(8)\qquad\text{multiply both sides by 8}\\\\a=(5)/(\\ot4_1)\cdot\\ot8^2\\\\\boxed{a=10}`