  ### Home > CALC > Chapter 6 > Lesson 6.1.1 > Problem6-11

6-11.
1. PROPORTIONAL RELATIONSHIPS

2. 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 k. If they are not, explain why not. Homework Help ✎

3. Example: Distance d traveled (in miles) when driving for t hours at a constant speed of 50 mph. Solution: d = 50t, with k = 50.

1. Cost c in dollars of n chocolate bars at 50 cents each.

2. Number of hours t that it takes to drive 50 miles at r miles per hour.

3. Taxi fare f depends on the number of miles m driven. The fare is $2 for the first mile, then$1 for each subsequent mile.

4. Time t it takes to read n mysteries if each book takes 10 hours to read.  c and n are proportional
c = 0.50n distance = (rate)(time)
Is rate proportional to time? Write an equation for the total taxi fare.
Is this a proportional relationship? t = 10n
Is this a proportional relationship?