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

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

  • A

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

    Write the function d ( t ) size 12{d \( t \) } {} .
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You set off driving from your house at 60 miles per hour.

  • A

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

    Write the function d ( t ) size 12{d \( t \) } {} .
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You set off in a rocket, flying upward at 200 miles per hour.

  • A

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

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

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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 d size 12{d} {} equal the distance from your house that your mother catches up with you. Let t 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 .) d size 12{d} {} should be measured in miles, and t 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?
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Questions & Answers

I'm interested in biological psychology and cognitive psychology
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
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Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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