Two plans for reaching a goal are given below. Plan A: Save \( \$ 450 \) over the next 8 weeks by working 9 hours per week at \( \$ 7.20 \) per hour. Plan B: Save \( \$ 450 \) over the next 6 weeks by working 15 hours per week at \( \$ 6.50 \) per hour. Which of the following is a true statement? a. Only plan A will work for achieving the goal. b. Only plan B will work for achieving the goal. c. Both plans will work for achieving the goal. d. Neither plan will work for achieving the goal.

**Step 1: Calculate the total savings under Plan A.** Plan A details: - Weeks: \(8\) - Hours per week: \(9\) - Hourly wage: \(\$7.20\) Total earnings for Plan A: \[ \text{Total earnings} = 8 \times 9 \times 7.20 \] Calculate the product of weeks and hours per week: \[ 8 \times 9 = 72 \text{ hours} \] Now, multiply by the hourly wage: \[ 72 \times 7.20 = 518.4 \] So, the total savings under Plan A are \(\$518.40\). --- **Step 2: Calculate the total savings under Plan B.** Plan B details: - Weeks: \(6\) - Hours per week: \(15\) - Hourly wage: \(\$6.50\) Total earnings for Plan B: \[ \text{Total earnings} = 6 \times 15 \times 6.50 \] Calculate the product of weeks and hours per week: \[ 6 \times 15 = 90 \text{ hours} \] Now, multiply by the hourly wage: \[ 90 \times 6.50 = 585 \] So, the total savings under Plan B are \(\$585\). --- **Step 3: Compare the total savings to the goal.** Goal: \(\$450\) - For Plan A: \(\$518.40\) is greater than \(\$450\). - For Plan B: \(\$585\) is also greater than \(\$450\). Since both plans allow saving at least \(\$450\), both plans will work for achieving the goal. --- **Answer:** c. Both plans will work for achieving the goal.