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

PROPORTIONAL RELATIONSHIPS

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

*c*in dollars of*n*chocolate bars at 50 cents each.Number of hours

*t*that it takes to drive 50 miles at*r*miles per hour.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.Time

*t*it takes to read*n*mysteries if each book takes 10 hours to read.

*c* and *n* are proportional

*c* = 0.50*n*

distance = (rate)(time)

Is rate proportional to time?

Write an equation for the total taxi fare.

Is this a proportional relationship?

*t* = 10*n*

Is this a proportional relationship?