Question

Tammy likes to swim at the big Olympic sized pool. For her workout Tammy swims 30 laps at a constant rate, which takes her 25 minutes. Let T(m) represent the number of laps Tammy can swim in m-minutes.

Based on the information given, determine the following values for T(m).
T(0)=________ T(25)=________

Answer 1

To find the values of T(m) for Tammy, we set up a proportion and solve for T(m). T(0) is 0 since Tammy cannot swim any laps in 0 minutes, and T(25) is 30 since Tammy swims 30 laps in 25 minutes.

Step-by-step explanation:

From the given information, we know that Tammy swims 30 laps in 25 minutes at a constant rate. To find the value of T(m), we need to find the number of laps Tammy can swim in m minutes.

We can set up a proportion to find the value of T(m):

T(25) / 30 = T(m) / m

Cross-multiplying and solving for T(m), we get:

T(m) = (T(25) * m) / 25

Since Tammy swims 30 laps in 25 minutes, we have T(25) = 30. Substituting this value in the equation, we get:

T(m) = (30 * m) / 25

Therefore, T(0) = 0, as Tammy cannot swim any laps in 0 minutes, and T(25) = 30, as Tammy swims 30 laps in 25 minutes.