To be able to go on the band trip, four band members each get a part-time job. Each pefson has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving \( \$ 285 \) ? Member A: Works 8 hours per week at \( \$ 6.15 \) per hour Member B: Works 10 hours per week at \( \$ 5.85 \) per hour Member C: Works 7 hours per week at \( \$ 7.25 \) per hour Member D: Works 9 hours per week at \( \$ 6.35 \) per hour a. A and B b. A and C c. B and C d. B and D

1. For each member, the total amount earned over 5 weeks is calculated by \[ \text{Total Earnings} = (\text{hours per week}) \times (\text{hourly rate}) \times 5 \] 2. **Member A:** \[ \text{Total Earnings}_A = 8 \times 6.15 \times 5 = 246\text{ dollars} \] Since \(246 < 285\), Member A will not reach his goal. 3. **Member B:** \[ \text{Total Earnings}_B = 10 \times 5.85 \times 5 = 292.5\text{ dollars} \] Since \(292.5 \ge 285\), Member B will reach his goal. 4. **Member C:** \[ \text{Total Earnings}_C = 7 \times 7.25 \times 5 = 253.75\text{ dollars} \] Since \(253.75 < 285\), Member C will not reach his goal. 5. **Member D:** \[ \text{Total Earnings}_D = 9 \times 6.35 \times 5 = 285.75\text{ dollars} \] Since \(285.75 \ge 285\), Member D will reach his goal. Thus, the two members who reach or exceed the \$285 goal are Member B and Member D. Final answer: (d) B and D.