Meredith needs 399 to buy a tablet computer. She wants to earn enough money babysitting to cover at least two-thirds the cost. If she earns 8 an hour babysitting, which inequality can be used to solve for b. the number of hours she must babysit? A 399-8bleqslant 133 B 399-8bleqslant 266 C. 8b-133geqslant 266 D 399-8bgeqslant 133

## Step 1<br />Meredith wants to earn at least two-thirds of the cost of the tablet, which is $399. This means she wants to earn at least \( \frac{2}{3} \times 399 = 266 \) dollars.<br /><br />## Step 2<br />Meredith earns $8 per hour babysitting. If she babysits for \( b \) hours, she will earn \( 8b \) dollars.<br /><br />## Step 3<br />Since she wants to earn at least $266, the amount she earns from babysitting, \( 8b \), must be greater than or equal to $266.<br /><br />### **The inequality that represents this situation is \( 8b \geq 266 \)**<br /><br />## Step 4<br />However, we need to consider that she also has to pay for the tablet, which is $399. So, the amount she earns from babysitting, \( 8b \), must be greater than or equal to the cost of the tablet minus $266.<br /><br />### **The inequality that represents this situation is \( 399 - 8b \geq 133 \)**