destiny opens a checking account with $100 and then deposits $27 each week. destiny wants to save $343. (3…

destiny opens a checking account with $100 and then deposits $27 each week. destiny wants to save $343. (3 points) part 1. complete the equation to determine how many weeks it will take destiny to reach $343. equation: w + = part 2. solve the equation to complete the statement. (1 point) it will take destiny weeks to have $343 in her savings account.
Answer
Explanation:
Step1: Set up the equation
Let $w$ be the number of weeks. The initial amount is $100$ and the amount deposited per - week is $27$. The goal is $343$. So the equation is $27w + 100=343$.
Step2: Solve for $w$
First, subtract $100$ from both sides of the equation: $27w+100 - 100=343 - 100$ $27w = 243$ Then, divide both sides by $27$: $w=\frac{243}{27}=9$
Answer:
Part 1: Equation: $27w + 100 = 343$ Part 2: It will take Destiny $9$ weeks to have $$343$ in her savings account.