A. Ali needs \( \$ 600 \) to purchase a flute. She has \( \$ 32 \). She can earn \( \$ 15 \) an hour babysitting. Which equation could be used to find, \( h \), the number of hours Ali needs to babysit to earn enough money to purchase the flute? \( 600=h(32 \times 15) \) \( 600=32-15 h \) \( 600=32+15 h \)

To determine how many hours \( h \) Ali needs to babysit to afford the flute, let's break down the problem: 1. **Total amount needed for the flute:** \( \$600 \) 2. **Amount Ali already has:** \( \$32 \) 3. **Earnings per hour babysitting:** \( \$15 \) per hour The equation should account for the total amount needed being equal to the amount she already has plus the money she earns from babysitting. Mathematically, this can be expressed as: \[ 600 = 32 + 15h \] **Explanation of the Options:** 1. **\( 600 = h(32 \times 15) \)** This implies multiplying the number of hours by \( 32 \times 15 \), which doesn't make sense in this context. 2. **\( 600 = 32 - 15h \)** This suggests that the earnings reduce the amount she has, which is incorrect. 3. **\( 600 = 32 + 15h \)** This correctly adds the amount she already has to her earnings from babysitting. **Therefore, the correct equation is:** \[ 600 = 32 + 15h \] **Answer:** \(600=32+15 h\)