Question
Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take her account to reach $343? Use the equation to solve the problem: 100 + 27w = 343 (1 point) Responses 16.4 weeks 16.4 weeks 12.7 weeks 12.7 weeks 9 weeks 9 weeks 3.16 weeks
Answers
GPT-4o mini
To solve the equation \(100 + 27w = 343\) for \(w\), follow these steps:
1. Subtract 100 from both sides:
\[
27w = 343 - 100
\]
\[
27w = 243
\]
2. Divide both sides by 27:
\[
w = \frac{243}{27}
\]
\[
w = 9
\]
So, it will take Destiny **9 weeks** for her account to reach $343.
1. Subtract 100 from both sides:
\[
27w = 343 - 100
\]
\[
27w = 243
\]
2. Divide both sides by 27:
\[
w = \frac{243}{27}
\]
\[
w = 9
\]
So, it will take Destiny **9 weeks** for her account to reach $343.