Shawnashawn4idn
Answered

Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

Select the correct answer.

Molly and Lynn both set aside money weekly for their savings. Molly already has [tex]$\$650$[/tex] set aside and adds [tex]$\[tex]$35$[/tex][/tex] each week. Lynn already has [tex]$\$825$[/tex] set aside but adds only [tex]$\[tex]$15$[/tex][/tex] 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]650w + 35 \ \textless \ 825w + 15[/tex]

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

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

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

Sagot :

GinnyAnsweridn
To determine when Molly's savings will exceed Lynn's savings, we need to set up an inequality that compares the two savings accounts over time.

1. Identify the initial savings and weekly contributions for each:
- Molly:
- Initial savings: \[tex]$650 - Weekly addition: \$[/tex]35
- Lynn:
- Initial savings: \[tex]$825 - Weekly addition: \$[/tex]15

2. Formulate the expression for each person's savings over time [tex]\(w\)[/tex] weeks:
- Molly's savings after [tex]\(w\)[/tex] weeks: [tex]\( 650 + 35w \)[/tex]
- Lynn's savings after [tex]\(w\)[/tex] weeks: [tex]\( 825 + 15w \)[/tex]

3. Set up the inequality to find when Molly's savings exceed Lynn's savings:
- We need the inequality [tex]\( 650 + 35w > 825 + 15w \)[/tex].

4. Interpret the inequality:
- This inequality shows the comparison of Molly’s total savings to Lynn’s total savings over [tex]\(w\)[/tex] weeks.

Therefore, the correct answer is:

C. [tex]\( 650 + 35w > 825 + 15w \)[/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.