Section D Section D Checkpoint

Problem 1

The table shows the time it took a swimmer to swim 4 lengths of a small pool at a constant rate. (One length of the pool is the distance from one end of the pool to the opposite end.)

distance in lengths of the pool time in seconds
4 96
1

  1. At that rate, how many seconds did it take her to swim 1 length of the pool?
  2. What distance did she swim in 60 seconds?
Show Solution
Solution
  1. 24 seconds
  2. 2.5 lengths of the pool
Show Sample Response
Sample Response
  1. 24 seconds
  2. 2.5 lengths of the pool

Problem 2

At a store, 8 bars of soap cost $6. At that rate, how much would 60 bars of soap cost? Explain or show your reasoning. You can use a table if it is helpful.
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Solution

$45. Sample reasoning:

  • At that rate, 40 bars would cost $30, so 20 bars would cost $15. Three times 20 is 60, and 3 times 15 is 45.
  • Using a table: 

Show Sample Response
Sample Response

$45. Sample reasoning:

  • At that rate, 40 bars would cost $30, so 20 bars would cost $15. Three times 20 is 60, and 3 times 15 is 45.
  • Using a table: