6 4 Slope as Rate of Change MATHPOWER M 10 Western Edition pp 270 272 1 Jake cycled 7 5 km in 25 min and 22 5 km in 75 min Rhona cycled 8 75 km in 35 min and 16 25 km in 65 min a Plot the points time distance for Jake on the grid shown b Plot the points time distance for Rhona on the same grid c Use the graph to indicate who cycled faster d Calculate Jake s rate of cycling in kilometres per hour e Calculate Rhona s rate of cycling in kilometres per hour 2 One year Lillian paid 4250 in taxes on a taxable income of 25 000 In the previous year she paid 3740 in taxes on a taxable income of 22 000 a Determine the rate of income tax as a percent of taxable income b Describe the rate of income tax in words c If Lillian had a taxable income of 26 500 in the next year and the income tax rate did not change how much income tax did she pay d If Lillian paid 3612 50 in income taxes the next year and if the income tax rate did not change what was her taxable income that year 3 During a trip to Belgium Toni exchanged three amounts of Canadian dollars for Belgian francs Included in the amount he paid for each transaction was a handling charge He received 5000 Belgian francs for 205 Canadian 3750 Belgian francs for 155 Canadian and 6250 Belgian francs for 255 Canadian a Plot the points Canadian dollars Belgian francs on the grid shown b What does the slope of the graph represent c Use the graph to find the exchange rate for the number of Belgian francs that is equivalent to one Canadian dollar that week d What is the handling charge for each transaction