Question

id:7cab9fe1 which expression represents the result of increasing a positive quantity w by 43%? a. 1.43w b. 0.57w c. 43w d. 0.43w

Explanation:

Step1: Understand percentage increase

To increase a quantity \( w \) by 43%, we first find 43% of \( w \), which is \( 0.43w \), then add it to the original quantity \( w \).

Step2: Formulate the expression

The new quantity is \( w + 0.43w \). Combining like terms, we get \( (1 + 0.43)w = 1.43w \)? Wait, wait, wait, looking at the options, option A is \( 1.43w \)? Wait, the user's image: let me check again. Wait, the options: A. 1.43w, B. 0.57w, C. 43w, D. 0.43w. Wait, increasing \( w \) by 43%: the formula is \( w(1 + \text{percentage as decimal}) \). 43% as decimal is 0.43, so \( w(1 + 0.43) = 1.43w \), which is option A. Wait, maybe a typo in my initial thought, but let's re-express:

Increasing a quantity \( w \) by 43% means the new quantity is the original \( w \) plus 43% of \( w \). Mathematically, that's \( w + 0.43w \). Factoring out \( w \), we get \( w(1 + 0.43) = 1.43w \). So the correct expression is \( 1.43w \), which is option A.

Answer:

A. \( 1.43w \)