9. You spend $50 on a meal for you and your friends. a. Graph the equation 1.5y + 4x = 50, where x is the number of sandwiches purchased and y is the number of beverages purchased. b. Interpret the intercepts. 10. You join a racquetball club. Your membership entitles you to unlimited court time. The equation y = 50 represents the monthly cost y (in dollars) for x hours of court time. Graph the equation. What does the graph tell you? 11. A floral shop earns a profit of $7000 in May and $17,000 in September. What is the rate of change in profit for this time period? 12. A glacier moves forward at a rate of 70 feet per year. How far has the glacier moved in the past 8 years? Use a linear equation and a graph to justify your answer. 13. You are 30 feet below ground level in an elevator. You are moving upward at a rate of 12 feet per second. Write an equation that represents your height y (in feet) relative to the ground after x seconds. Graph the equation. 14. You are a salesperson at a sporting goods store. You earn a fixed amount of $30 per day, plus a 20% bonus on the merchandise you sell. Write an equation that models the amount y (in dollars) you earn for selling x dollars worth of merchandise in one day. Graph the equation. Find the slope of the line. 15. Which is steeper, a slide that rises 3 feet for every 2 feet of run, or a sliding pole that rises 5 feet for every 3 feet of run? Explain. Find the slope and y-intercept of the graph of the linear equation. 16. The position y (in meters) of a submarine after x minutes is y = -8x - 12. Interpret the y-intercept and the slope. slope = -8 y-int = -12
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