Nina earns \( \$ 12.50 \) per hour. Write and solve an inequality to d to earn at least \( \$ 250 \). Then interpret the solution. Explain your

To determine how many hours Nina needs to work to earn **at least \$250**, follow these steps: ### 1. Define the Variables - Let \( h \) represent the number of hours Nina works. ### 2. Set Up the Inequality Nina earns **\$12.50 per hour**, so her total earnings can be expressed as: \[ 12.50 \times h \] To earn **at least \$250**, the inequality is: \[ 12.50h \geq 250 \] ### 3. Solve the Inequality To find the minimum number of hours \( h \) Nina needs to work, solve for \( h \): \[ 12.50h \geq 250 \] \[ h \geq \frac{250}{12.50} \] \[ h \geq 20 \] ### 4. Interpret the Solution The solution \( h \geq 20 \) means: - **Nina must work **_**at least 20 hours**_** to earn \$250 or more.** This ensures that her earnings meet or exceed the target amount of \$250. ### 5. Summary \[ \boxed{12.50h \geq 250 \quad \Rightarrow \quad h \geq 20} \] **Interpretation:** Nina needs to work **20 hours or more** to earn at least \$250.