Question 11 Mia wants to earn \( \$ 2,500 \) in her job at a bicycle store. She is paid \( \$ 55 \) for each bicycle she tunes up. The minimum number of bicycles Mia needs to tune up to reach her goal of \( \$ 2,500 \) is The solution is

To determine the **minimum number of bicycles Mia needs to tune up** to earn **\$2,500**, we'll set up and solve an equation based on her earnings per bicycle. ### Step 1: Understand the Problem - **Goal:** Earn \$2,500 - **Earnings per bicycle:** \$55 ### Step 2: Set Up the Equation Let: - \( x \) = the number of bicycles Mia needs to tune up The total earnings can be represented as: \[ 55x = 2,500 \] ### Step 3: Solve for \( x \) To find \( x \), divide both sides of the equation by 55: \[ x = \frac{2,500}{55} \] \[ x \approx 45.4545 \] ### Step 4: Determine the Minimum Whole Number Since Mia can't tune up a fraction of a bicycle, we round **up** to the next whole number to ensure she meets or exceeds her goal. \[ x = 46 \] ### **Conclusion** Mia needs to tune up **46 bicycles** to earn at least **\$2,500**. ### **Verification** Calculate the total earnings for 46 bicycles: \[ 55 \times 46 = 2,530 \] \[ 2,530 \geq 2,500 \] Thus, tuning up **46 bicycles** ensures Mia meets her earnings goal.