Utility function is given as U(x1, x2) = 10x 0.5 1 + 5x2 Given a utility function $U= {10x^{0.5}} + 5y$, calculate the MRS and explain its economic meaning.

The MRS I calculated is $\frac{1}{\sqrt{x_1}}$, but I can't really understand it's economic meaning or how to derive its indifference curve. Some help please?
The MRS represents the rate of exchange between goods x and y that would leave the agent indifferent to trading the two. It is the slope of the indifference curve for a given value of utility U.

To derive the indifference map (the set of indifference curves), take U constant in the utility function, and solve for y in terms of x. You can check if your MRS calculation is correct by taking the first derivative of your indifference map function.