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?
Answer choices:
16.4 weeks
12.7 weeks
9 weeks
3.16 weeks
To find the number of weeks it will take Destiny's account to reach $343, we can set up an equation.
Let the number of weeks be represented by "x".
Starting with $100, she deposits $27 each week.
The equation to represent this situation is:
100 + 27x = 343.
To solve for x, we need to isolate the variable on one side of the equation.
Subtracting 100 from both sides, we have:
27x = 343 - 100,
27x = 243.
To solve for x, we divide both sides of the equation by 27:
x = 243/27 = 9.
Therefore, it will take her account 9 weeks to reach $343.
The correct answer is 9 weeks.
To solve this real-world problem, we can set up an equation to represent the situation. Let's denote the number of weeks as 'w.'
Since Destiny opens the account with $100 and deposits $27 each week, we can express the amount of money in the account after 'w' weeks as:
100 + 27w
We want to find out after how many weeks the account will reach $343. So, we can set up the equation:
100 + 27w = 343
To solve this equation for 'w,' we can subtract 100 from both sides:
27w = 343 - 100
27w = 243
Now, divide both sides of the equation by 27 to solve for 'w':
w = 243 / 27
Simplifying the division gives us:
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
The correct choice is 9 weeks.
To solve this real-world problem, we need to find out how many weeks it will take for Destiny's checking account balance to reach $343.
First, we can start by calculating the amount of money Destiny deposits each week. We know that she starts with $100 and deposits $27 each week, so we can represent her account balance after each week using the equation:
Account balance = $100 + ($27 × number of weeks)
Now, we need to determine the number of weeks it takes for the account balance to reach $343. We can set up an equation using the account balance equation above:
$100 + ($27 × number of weeks) = $343
To solve for the number of weeks, we can rearrange the equation:
$27 × number of weeks = $343 - $100
$27 × number of weeks = $243
Finally, we divide both sides of the equation by $27 to isolate the number of weeks:
number of weeks ≈ $243 ÷ $27
Evaluating this expression, we find that it approximately equals 9, which means it will take approximately 9 weeks for Destiny's account balance to reach $343.
Therefore, the correct answer is: 9 weeks.