To find the equation that correctly describes the relationship between Poppy's weight ([tex]$p$[/tex]) and Yumi's weight ([tex]$y$[/tex]), we start with the information given in the problem:
Poppy weighs 36 pounds more than Yumi.
This statement can be translated into an algebraic equation. Let's break it down step-by-step:
1. Poppy's weight is [tex]$p$[/tex] pounds.
2. Yumi's weight is [tex]$y$[/tex] pounds.
3. Poppy weighs 36 pounds more than Yumi.
This means if we subtract Yumi's weight from Poppy's weight, the result is 36 pounds. Mathematically, this can be expressed as:
[tex]\[ p - y = 36 \][/tex]
Now, let's match this equation with the options given:
- (A) [tex]\(p + y = 36\)[/tex]: This implies the sum of their weights is 36 pounds, which does not match the given information.
- (B) [tex]\(p + 36 = y\)[/tex]: This implies Poppy weighs 36 pounds less than Yumi, which is not correct.
- (C) [tex]\(p - y = 36\)[/tex]: This correctly matches the relationship that Poppy weighs 36 pounds more than Yumi.
- (D) [tex]\(y - p = 36\)[/tex]: This implies Yumi weighs 36 pounds more than Poppy, which is incorrect.
Therefore, the correct equation that describes the relationship between their weights is:
[tex]\[ \boxed{p - y = 36} \][/tex]
So, the correct answer is:
(C) [tex]\(p - y = 36\)[/tex]
