Solve each problem.Bicycle Gear Ratio The gear ratio r for a bicycle is defined by the for...

Solve each problem.

Bicycle Gear Ratio The gear ratio r for a bicycle is defined by the formula

where N is the number of teeth on the chainring (by the pedal), n is the number of teeth on the cog (by the wheel), and w is the wheel diameter in inches. The following chart gives uses for the various gear ratios.

A bicycle with a 27-in. diameter wheel has 50 teeth on the chainring and 5 cogs with 14, 17, 20, 24, and 29 teeth. Find the gear ratio with each of the five cogs. Does this bicycle have a gear ratio for each of the four types of pedaling described in the table?