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In parts (a) through (d) below, decide whether the two given quantities are proportional. If they are, write an equation relating them and state the proportionality constant . If they are not, explain why not.

Example: Distance traveled (in miles) when driving for hours at a constant speed of mph. Solution: , with .

  1. Cost in dollars of chocolate bars at cents each.

    and are proportional

  1. Number of hours that it takes to drive miles at miles per hour.

    distance (rate)(time)
    Is rate proportional to time?

  1. Taxi fare depends on the number of miles driven. The fare is for the first mile, then for each subsequent mile.

    Write an equation for the total taxi fare.
    Is this a proportional relationship?

  1. Time it takes to read mysteries if each book takes hours to read.

    Is this a proportional relationship?