Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Select the correct answer.

Molly and Lynn both set aside money weekly for their savings. Molly already has [tex]$650 set aside and adds $[/tex]35 each week. Lynn already has [tex]$825 set aside but adds only $[/tex]15 each week. Which inequality could they use to determine how many weeks, [tex]$w$[/tex], it will take for Molly's savings to exceed Lynn's savings?

A. [tex]$650 w + 35 \ \textgreater \ 825 w + 15$[/tex]

B. [tex]$650 m + 35 \ \textless \ 825 m + 15$[/tex]

C. [tex]$650 + 35 w \ \textless \ 825 + 15 w$[/tex]

D. [tex]$650 + 35 w \ \textgreater \ 825 + 15 w$[/tex]


Sagot :

To determine the number of weeks [tex]\( w \)[/tex] it will take for Molly's savings to exceed Lynn's savings, we need to compare their respective savings amounts.

1. Molly's savings starts with \[tex]$650 and increases by \$[/tex]35 each week. Her total savings after [tex]\( w \)[/tex] weeks can be expressed as:
[tex]\[ 650 + 35w \][/tex]

2. Lynn's savings starts with \[tex]$825 and increases by \$[/tex]15 each week. Her total savings after [tex]\( w \)[/tex] weeks can be expressed as:
[tex]\[ 825 + 15w \][/tex]

We want to find the inequality that determines when Molly's savings will be greater than Lynn's savings. Therefore, we need the inequality:
[tex]\[ 650 + 35w > 825 + 15w \][/tex]

So, the correct answer is:
[tex]\[ \boxed{650 + 35w > 825 + 15w} \][/tex]

This corresponds to answer option D.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.