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 for her account to reach $343? (1 point)
To solve this problem, we can set up an equation. Let the number of weeks be represented by 'x'.
Initially, Destiny has $100 in her account. For each subsequent week, she deposits an additional $27. So, every week her account balance increases by $27.
We need to find out in how many weeks her account balance will reach $343.
The equation is:
100 + 27x = 343
To find the value of 'x', we can subtract 100 from both sides of the equation:
27x = 343 - 100
Simplifying, we get:
27x = 243
Finally, we divide both sides of the equation by 27:
x = 243 / 27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this real-world problem, we need to find the number of weeks it will take for Destiny's account to reach $343, given that she opens the checking account with $100 and deposits $27 each week.
We can start by setting up an equation to represent the situation. Let's call the number of weeks it takes for her account to reach $343 as "w".
The starting amount in her account is $100, and she deposits $27 each week for "w" weeks. Therefore, the equation becomes:
100 + 27w = 343
To solve for "w", we need to isolate the variable on one side of the equation. We can do this by subtracting 100 from both sides:
27w = 343 - 100
27w = 243
Now, to solve for "w", we divide both sides of the equation by 27:
w = 243 / 27
Simplifying the division gives us:
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this problem, we can set up an equation to represent the situation.
Let's assume 'w' represents the number of weeks it takes for Destiny's account to reach $343.
Since Destiny starts with $100 and deposits $27 each week, we can represent her account balance as: 100 + 27w.
According to the problem, we want to find the number of weeks it takes for her account to reach $343.
So, we can set up the equation: 100 + 27w = 343.
To solve for 'w', we need to isolate the variable.
Subtract 100 from both sides of the equation:
27w = 343 - 100.
Simplifying the right side of the equation, we have:
27w = 243.
Now, divide both sides by 27:
w = 243 / 27.
Simplifying the right side of the equation, we have:
w = 9.
Therefore, it will take Destiny 9 weeks for her account to reach $343.