Chuy wants to buy a new television. The television costs \( \$ 1,350 \). Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved \( \$ 440 \). Which of the following conclusions can you make about Chuy's plan? a. Chuy has a good plan and will have exactly \( \$ 1,350 \) saved at the end of 27 weeks. b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. c. Chuy will save more than he needs and will meet his goal in less than 27 weeks. d. There is not enough information given to make a conclusion about Chuy's plan. Please select the best answer from the choices provided

1. Compute the weekly savings from the information after 8 weeks: \[ \text{Weekly Savings} = \frac{\$440}{8} = \$55. \] 2. Determine the total amount saved if Chuy continues saving \(\$55\) each week for 27 weeks: \[ \text{Total Savings} = 27 \times \$55 = \$1,485. \] 3. Compare the total savings with the cost of the television: \[ \$1,485 > \$1,350. \] This means Chuy will save more than he needs. 4. Determine the number of weeks required to exactly reach \(\$1,350\): \[ \text{Weeks Needed} = \frac{\$1,350}{\$55} \approx 24.55 \text{ weeks}. \] Since savings typically occur on a weekly basis, he will have over \(\$1,350\) in 25 weeks. This is less than the planned 27 weeks. Thus, the correct conclusion is: c. Chuy will save more than he needs and will meet his goal in less than 27 weeks.