A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. It's given that the ratio of to is to . Since , it follows that the ratio of to is also to . The relationship between these ratios can be represented by the proportion . Multiplying both sides of this equation by and then by yields .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the value of when .
Choice B
Choice B is incorrect. This would be the value of if the ratio of to were to .
Choice C
Choice C is incorrect. This is the value of , not .