# Consider the utility function U(x,y) = y√x [closed]

Draw the indifference curve for U= 10, U=15, U=20.

My knowledge of algebra has deteriorated over the last few years of being out of school and I am really unsure of how to answer this.

The X value is going up in the standard 1 to 10.

• Hello! Could you try to make the title of your question more informative about what you are looking for? :) Oct 15 '19 at 21:59

Hint: This suggests $$y=\dfrac{U}{\sqrt{x}}$$

so draw the three curves in the usual way

• $$y=\dfrac{10}{\sqrt{x}}$$; three of the points are $$(1,10)$$ and $$(4,5)$$ and $$(9,3.333)$$

• $$y=\dfrac{15}{\sqrt{x}}$$; three of the points are $$(1,15)$$ and $$(4,7.5)$$ and $$(9,5)$$

• $$y=\dfrac{20}{\sqrt{x}}$$; three of the points are $$(1,20)$$ and $$(4,10)$$ and $$(9,6.667)$$

• Many thanks henry, this is correct! Was also wondering how you got to this answer from: U(x,y) = y√x. Why did you change the U over the square root of X? I'd love to know this for future reference.
– alz
Oct 15 '19 at 23:12
• @alz - I divided both sides of $U=y \sqrt{x}$ by $\sqrt{x}$ Oct 15 '19 at 23:41