**Educational Website Content:** --- ### Review Exercise **1. Mathematical Problem:** A male on a competitive rowing team rows at a constant speed of 4 miles per hour. Write a function that represents the distance the boat travels as a function of the number of seconds they have rowed after the first 2 minutes. - Let \( f(x) = 4x \). Explain your reasoning. **2. Visual Patterns and Functions:** - **Figure Analysis:** Figures 1, 2, and 3 show a visual pattern of tiles. These figures are represented as grids with colored and white blocks. **Figure Descriptions:** - **Figure 1**: A small grid with a few shaded blocks. - **Figure 2**: A larger grid with more shaded blocks. - **Figure 3**: Even more shaded blocks, following a specific pattern. **Questions:** a. Write the function \( w(n) \) to represent the number of white blocks in Figure n. b. Write the function \( b(n) \) to represent the number of black blocks in Figure n. c. The total number of blocks in Figure n can be represented by the function \( t(n) = 2(n^2 + n) \). Use the functions you wrote to show that \( t(n) = w(n) + b(n) \). **3. Volume Calculation:** - **Determine the Volume of Each Figure:** - **Cylinder**: - Height: 12 cm - Radius: 10 cm - **Cone**: - Height: 14 ft - Radius: 11 ft Round your answer to the nearest hundredth. **Diagrams:** - **Cylinder:** A three-dimensional shape with known dimensions (height and radius provided). - **Cone:** A three-dimensional shape with a circular base, having specified height and radius. **Graphical Representations:** - **Figure 1, 2, 3:** Visual patterns of grids indicating a progression in the number of shaded tiles, relevant for pattern identification and function derivation. --- This exercise is designed to enhance understanding of functions, patterns, and volume calculations using geometric figures.