Dief 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.

To determine which option allows Drake to meet his goal of saving \( \$ 750 \) for the class, we need to analyze both options based on his current savings and the adjustments he plans to make. ### Known Conditions: - Goal: \( \$ 750 \) - Weekly savings: \( \$ 125 \) - Time until class: 6 weeks - Current savings after 4 weeks: \( \$ 470 \) - Amount withdrawn in the 3rd week: Unknown, but we will calculate the impact. ### Step 1: Calculate the total savings without any adjustments Drake originally planned to save \( \$ 125 \) each week for 6 weeks: \[ \text{Total savings without adjustments} = 6 \times 125 = 750 \] ### Step 2: Calculate the savings after 4 weeks After 4 weeks, Drake has \( \$ 470 \). He saved \( 4 \times 125 = 500 \) initially, but he withdrew some money in the 3rd week. Therefore, the amount withdrawn can be calculated as: \[ \text{Amount withdrawn} = 500 - 470 = 30 \] ### Step 3: Analyze Option A **Option A:** Stay with saving the original amount each week but take the class a week later. If he takes the class a week later, he will have 7 weeks to save: \[ \text{Total savings in 7 weeks} = 7 \times 125 = 875 \] Since \( 875 > 750 \), Option A will allow him to meet his goal. ### Step 4: Analyze Option B **Option B:** Increase the amount of money he saves each week by \( \$ 15 \) from his original plan. New weekly savings: \[ \text{New weekly savings} = 125 + 15 = 140 \] If he continues saving this amount for 6 weeks: \[ \text{Total savings in 6 weeks} = 6 \times 140 = 840 \] Since \( 840 > 750 \), Option B will also allow him to meet his goal. ### Conclusion Both options A and B will allow Drake to meet his goal of saving \( \$ 750 \). Thus, the correct answer is: **c. Both options A and B will allow him to meet his goal.**