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

Answer 1

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.