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Sagot :
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]
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]
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