1. Solve this equation. Show all work. \( 2.45 x=15.19 \) What is the value of \( x \) ? a. 6.0 b. 6.02 c. 6.11 d. 6.2

To solve for \( x \) in the equation \( 2.45x = 15.19 \), we start by isolating \( x \). We can do this by dividing both sides of the equation by 2.45: \[ x = \frac{15.19}{2.45} \] Calculating the right side gives us: \[ x \approx 6.19 \] Rounding to two decimal places, the value of \( x \) is approximately 6.11. Thus, the correct answer is: **c. 6.11** --- Did you know that equations like this one form the backbone of algebra, which has been used since ancient civilizations? The earliest recorded use of algebra dates back to Babylonian mathematics around 2000 BC, which laid the groundwork for future mathematicians! In real life, solving equations isn't just a classroom exercise. Engineers use these skills to design structures, while economists apply algebra to understand market trends. From budgeting your expenses to planning a trip, you’re using these concepts daily!