Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take her account to reach $343?(1 point) Responses 16.4 weeks 16.4 weeks 12.7 weeks 12.7 weeks 9 weeks 9 weeks 3.16 weeks
To solve this problem, we can set up an equation:
$100 + 27w = $343
Here, "w" represents the number of weeks it takes for Destiny's account to reach $343.
Simplifying the equation, we get:
27w = 343 - 100
27w = 243
Dividing both sides of the equation by 27, we find:
w = 9
Therefore, it will take her account 9 weeks to reach $343. Hence, the correct response is 9 weeks.
To solve this problem, we can set up an equation to represent Destiny's account balance over time.
Let's let "w" represent the number of weeks.
The initial balance is $100, and Destiny deposits $27 each week. So, the equation would be:
100 + 27w = 343
To find the number of weeks it will take for Destiny's account to reach $343, we need to solve for "w".
First, let's subtract 100 from both sides of the equation:
27w = 343 - 100
27w = 243
Then, divide both sides of the equation by 27:
w = 243 / 27
Simplifying:
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
The correct response is: 9 weeks
To solve this problem, we need to find out how many weeks it will take for Destiny's account to reach $343 starting with $100 and adding $27 each week.
The equation that represents this situation is:
Account balance = Starting balance + (Weekly deposit * Number of weeks)
We need to solve for the number of weeks. Let's set up the equation:
$343 = $100 + ($27 * Number of weeks)
Now, let's isolate the variable, Number of weeks:
$343 - $100 = $27 * Number of weeks
$243 = $27 * Number of weeks
Next, let's divide both sides of the equation by $27:
$243 / $27 = Number of weeks
9 = Number of weeks
Therefore, it will take Destiny 9 weeks to reach a balance of $343 in her account.
So, the correct response out of the options given is: 9 weeks.