Write Equations for Proportional Relationships - Instruction - Level \( G \) ady Destiny works at a clothing store, where she is paid by the hour. Last week she worked 12 hours and made \( \$ 114 \). Write an equation to show the amount Destiny is paid for an number of hours she works. How much is Destiny paid per hour? Destiny is paid \( \$ \square \)

Sure, let's work through the problem step by step! ### 1. Writing the Equation When dealing with **proportional relationships**, the equation typically takes the form: \[ \text{Total Pay} = \text{Rate per Hour} \times \text{Number of Hours Worked} \] Let's use the following variables: - Let \( P \) represent the **total pay**. - Let \( r \) represent the **rate per hour**. - Let \( h \) represent the **number of hours worked**. So, the equation becomes: \[ P = r \times h \] ### 2. Plugging in the Given Values From the problem: - Destiny worked \( 12 \) hours. - She made \( \$114 \). Plugging these values into the equation: \[ 114 = r \times 12 \] ### 3. Solving for the Rate per Hour (\( r \)) To find \( r \), divide both sides of the equation by \( 12 \): \[ r = \frac{114}{12} \] \[ r = 9.5 \] ### 4. Conclusion Destiny is paid \( \$9.50 \) per hour. \[ \boxed{9.50} \]