Question
Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates over the next several months. Drake is planning to take the class 6 weeks from now, so he plans to save $125 each week.
Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options:
Option A: Stay with saving the original amount each week but take the class a week later than originally planned.
Option B: Increase the amount of money he saves each week by $15 from his original plan.
Which of the following is a true statement?
a.
Only option A will allow him to meet his goal.
b.
Only option B will allow him to meet his goal.
c.
Both options A and B will allow him to meet his goal.
d.
Neither option A nor option B will allow him to meet his goal.
Please select the best answer from the choices provided
A
B
C
D
Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options:
Option A: Stay with saving the original amount each week but take the class a week later than originally planned.
Option B: Increase the amount of money he saves each week by $15 from his original plan.
Which of the following is a true statement?
a.
Only option A will allow him to meet his goal.
b.
Only option B will allow him to meet his goal.
c.
Both options A and B will allow him to meet his goal.
d.
Neither option A nor option B will allow him to meet his goal.
Please select the best answer from the choices provided
A
B
C
D
Answers
GPT-4o mini
Let's break down Drake's situation and the options.
1. **Original Plan**: Drake plans to save $125 each week for 6 weeks, totaling to:
\[
125 \times 6 = 750
\]
2. **Current Savings Situation**:
- After 4 weeks, Drake has $470.
- This means he has saved \(470 - (125 \times 2) = 470 - 250 = 220\) in the first two weeks but reduced his savings in the third week.
- In the 3rd week, he took some money out, which means he didn't save the full $125.
3. **Remaining weeks until class**:
- Drake has 2 weeks left until he originally planned to attend the class.
**Now, assessing options:**
### Option A
- If Drake saves $125 each week for another 2 weeks, he will have:
\[
470 + (125 \times 2) = 470 + 250 = 720
\]
- This totals $720, which is **not enough** to meet his goal of $750. Also, he is planning to take the class a week later, which will give him an additional week or 3 more weeks total.
- In those 3 weeks, he would save:
\[
470 + (125 \times 3) = 470 + 375 = 845
\]
- He would exceed his goal if he extends to 3 weeks.
### Option B
- If Drake increases his savings by $15 each week, he will save \(125 + 15 = 140\) each week for 2 more weeks:
\[
470 + (140 \times 2) = 470 + 280 = 750
\]
- Therefore, if he maintains this increase for the remaining weeks, he will exactly meet his goal of $750.
### Conclusion
- **Option A** will allow Drake to meet his goal if he takes the class a week later and saves an additional week.
- **Option B** will also allow him to meet his goal if he increases his saved amount each week.
Thus, the true statement is:
**C: Both options A and B will allow him to meet his goal.**
1. **Original Plan**: Drake plans to save $125 each week for 6 weeks, totaling to:
\[
125 \times 6 = 750
\]
2. **Current Savings Situation**:
- After 4 weeks, Drake has $470.
- This means he has saved \(470 - (125 \times 2) = 470 - 250 = 220\) in the first two weeks but reduced his savings in the third week.
- In the 3rd week, he took some money out, which means he didn't save the full $125.
3. **Remaining weeks until class**:
- Drake has 2 weeks left until he originally planned to attend the class.
**Now, assessing options:**
### Option A
- If Drake saves $125 each week for another 2 weeks, he will have:
\[
470 + (125 \times 2) = 470 + 250 = 720
\]
- This totals $720, which is **not enough** to meet his goal of $750. Also, he is planning to take the class a week later, which will give him an additional week or 3 more weeks total.
- In those 3 weeks, he would save:
\[
470 + (125 \times 3) = 470 + 375 = 845
\]
- He would exceed his goal if he extends to 3 weeks.
### Option B
- If Drake increases his savings by $15 each week, he will save \(125 + 15 = 140\) each week for 2 more weeks:
\[
470 + (140 \times 2) = 470 + 280 = 750
\]
- Therefore, if he maintains this increase for the remaining weeks, he will exactly meet his goal of $750.
### Conclusion
- **Option A** will allow Drake to meet his goal if he takes the class a week later and saves an additional week.
- **Option B** will also allow him to meet his goal if he increases his saved amount each week.
Thus, the true statement is:
**C: Both options A and B will allow him to meet his goal.**