olve 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, divide the difference between the desired amount and the initial amount by the weekly deposit amount:
($343 - $100) / $27 = 9 weeks
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this real-world problem, we need to find out how many weeks it will take for Destiny's account to reach $343 starting with an initial deposit of $100 and adding $27 each week.
We can set up an equation to represent the problem:
100 + 27w = 343
where w represents the number of weeks it takes.
To solve for w, we need to isolate it on one side of the equation.
Subtracting 100 from both sides, we have:
27w = 343 - 100
27w = 243
Next, divide both sides of the equation by 27 to solve for w:
w = 243 / 27
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
So the correct answer is:
9 weeks.
To solve this problem, we can use the formula for calculating the number of weeks it will take for the amount in Destiny's account to reach a specific goal.
Let's denote:
- C = initial amount (starting with $100 in this case)
- D = deposit amount per week ($27 in this case)
- G = goal amount ($343 in this case)
- W = number of weeks (what we want to find)
The formula would be:
C + (D * W) = G
Substituting in the values:
100 + (27 * W) = 343
Now, let's solve for W:
27 * W = 343 - 100
27W = 243
W = 243 / 27
W = 9
Therefore, it will take 9 weeks for Destiny's account to reach $343.