Skip to content Skip to navigation Skip to collection information

Connexions

You are here: Home » Content » Advanced Algebra II: Activities and Homework » Distance, Rate, and Time

Navigation

Table of Contents

Lenses

What is a lens?

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

This content is ...

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • Featured Content display tagshide tags

    This collection is included inLens: Connexions Featured Content
    By: Connexions

    Comments:

    "This is the "main" book in Kenny Felder's "Advanced Algebra II" series. This text was created with a focus on 'doing' and 'understanding' algebra concepts rather than simply hearing about them in […]"

    Click the "Featured Content" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

Also in these lenses

  • Busbee's Math Materials display tagshide tags

    This collection is included inLens: Busbee's Math Materials Lens
    By: Kenneth Leroy Busbee

    Click the "Busbee's Math Materials" link to see all content selected in this lens.

    Click the tag icon tag icon to display tags associated with this content.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Distance, Rate, and Time

Module by: Kenny M. Felder. E-mail the author

Summary: An introduction to distance, rate, and time in algebra problems.

Exercise 1

You set off walking from your house at 2 miles per hour.

  • a. Fill in the following table.
Table 1
After this much time ( t ) ( t ) size 12{ \( t \) } {} ½ hour 1 hour 2 hours 3 hours 10 hours
You have gone this far ( d ) ( d ) size 12{ \( d \) } {}          
  • b. Write the function d(t)d(t) size 12{d \( t \) } {}.

Exercise 2

You set off driving from your house at 60 miles per hour.

  • a. Fill in the following table.
Table 2
After this much time ( t ) ( t ) size 12{ \( t \) } {} ½ hour 1 hour 2 hours 3 hours 10 hours
You have gone this far ( d ) ( d ) size 12{ \( d \) } {}          
  • b. Write the function d(t)d(t) size 12{d \( t \) } {}.

Exercise 3

You set off in a rocket, flying upward at 200 miles per hour.

  • a. Fill in the following table.
Table 3
After this much time ( t ) ( t ) size 12{ \( t \) } {} ½ hour 1 hour 2 hours 3 hours 10 hours
You have gone this far ( d ) ( d ) size 12{ \( d \) } {}          
  • b. Write the function d(t)d(t) size 12{d \( t \) } {}.

Exercise 4

Write the general relationship between distance traveled (d)(d) size 12{ \( d \) } {}, rate (r)(r) size 12{ \( r \) } {}, and time (t)(t) size 12{ \( t \) } {}.

Exercise 5

You start off for school at 55 mph. size 12{ {1} wideslash {5} } {} of an hour later, your mother realizes you forgot your lunch. She dashes off after you, at 70 mph. Somewhere on the road, she catches up with you, throws your lunch from her car into yours, and vanishes out of sight.

Let dd size 12{d} {} equal the distance from your house that your mother catches up with you. Let tt size 12{t} {} equal the time that you took to reach that distance. (Note that you and your mother traveled the same distance, but in different times.) dd size 12{d} {} should be measured in miles, and tt size 12{t} {} in hours (not minutes).

  • a. Write the distance-rate-time relationship for you, from the time when you leave the house until your mother catches up with you.
  • b. Write the distance-rate-time relationship for your mother, from the time when she leaves the house until she catches up with you.
  • c. Based on those two equations, can you figure out how far you were from the house when your mother caught you?

Collection Navigation

Content actions

Download module as:

PDF | More downloads ...

Add:

Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks

Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks