Merv bikes the same distance of 16 miles every day. The first day they take an hour to complete the 16 miles but each day they increase their speed which then decreases the amount of time they spend biking the same distance.

Speed in mph, x | 16 | 17 | 18 | 19 | 20 | 21 |
Time in hours, y | 1 | __ | __ | __ | __ | __ |

a.) What is the constant of variation for the equation?


b.) What is the rational equation that models this story and table?


c.) What is the excluded value for this equation?


d.) What is the time Merv spends biking 16 miles when he bikes at 21 mph?

Thank you :)