Explain 1 Using Intersections to Determine Approximate Solutions of One-Variable Equations You can use tables and graphs of th-functions y = f(x) and y2-g(x) to solve an equation of the form f(x) = g(x). Example 1 Use a table and a graphing calculator to estimate the solution. John needs to hire a painter. Painter A is offering his services for an initial $175 in addition to $14.25 per hour. Painter B is offering her services for an initial $200 in addition to $11 per hour. For what number of hours will the two painters charge the same amount of money? f(x) 175 + 14.25x g(x) = 200 + 11x fRx) 175 18925 203.5 g(x) 200 211 21735 233 244 255 266 277 232 246.25 260.5 274.75 289 288 Prom the table, the solution must be between 7 and 8 hours lased on the intersection point in the graph, the solution is approximately 7.7 hours. Module 7 310 Lesson 2