Ashley worked 1944 hours last year Sharon $14 for each hour she worked she wants to use her earnings to buy a new vehicle vehicle choices price sedan $25 750 convertible $27,990 SUV twenty nine thousand five hundred dollars. She said since two thousand times fourteen equals twenty eight thousand dollars and twenty seven dollars nine hundred and ninety is less than twenty eight thousand dollars. I know I have earned enough to buy the convertible. Use the drop-down boxes to explain whether or not Ashley's conclusion is logical.

Question

Ashley worked 1944 hours last year Sharon $14 for each hour she worked she wants to use her earnings to buy a new vehicle vehicle choices price sedan $25 750 convertible $27,990 SUV twenty nine thousand five hundred dollars. She said since two thousand times fourteen equals twenty eight thousand dollars and twenty seven dollars nine hundred and ninety is less than twenty eight thousand dollars. I know I have earned enough to buy the convertible. Use the drop-down boxes to explain whether or not Ashley's conclusion is logical.
Since Ashley rounded 1944 up to 2000 her estimate is in shoes. Ashley are in shoes $28,000. It choose possible that Ashley earned less than $27,990 which is the price of the convertible, so Ashley's conclusion choose logical.

GPT-4o mini · Answer

Let's break down Ashley's reasoning to determine whether her conclusion is logical.

Hours Worked and Earnings:
- Ashley worked 1944 hours and was paid $14 for each hour.
- Therefore, her total earnings = $ 1944 \text{ hours} \times 14 \text{ dollars/hour} = 27,216 \text{ dollars} $.
Vehicle Prices:
- Sedan: $25,750
- Convertible: $27,990
- SUV: $29,500
Ashley’s Estimate:
- Ashley rounded her hours worked from 1944 to 2000, which allowed her to estimate her earnings as $ 2000 \text{ hours} \times 14 \text{ dollars/hour} = 28,000 \text{ dollars} $.
- She concluded that since $28,000 is greater than $27,990 (the price of the convertible), she could afford the convertible.
Logical Evaluation:
- However, her actual earnings of $27,216 are not enough to buy the convertible, which costs $27,990.
- Ashley's rounding up to 2000 hours to estimate her earnings led her to overestimate her financial capacity.
Conclusion:
- Since her actual earnings are $27,216 and she does not have enough to purchase the convertible priced at $27,990, it indicates that Ashley's conclusion is not logical.

Final Statement: Since Ashley rounded 1944 up to 2000, her estimate is too high. Ashley’s actual earnings are $27,216, which is less than $27,990, the price of the convertible. Therefore, Ashley's conclusion is not logical.