Distance, rate, and time

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

• A

  Fill in the following table.

• B

  Write the function $d(t)$ .

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

• A

  Fill in the following table.

• B

  Write the function $d(t)$ .

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

• A

  Fill in the following table.

• B

  Write the function $d(t)$ .

Write the general relationship between distance traveled $(d)$ , rate $(r)$ , and time $(t)$ .

You start off for school at 55 mph. $$ 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 $d$ equal the distance from your house that your mother catches up with you. Let $t$ equal the time that you took to reach that distance. (Note that you and your mother traveled the same distance, but in different times .) $d$ should be measured in miles, and $t$ 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?