Question

A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. Let w = quarts of water left in the tub and t = time in minutes.

A 2-column table with 3 rows. The first column is labeled time (t) with entries 0, 2, 4. The second column is labeled quarts of water (W) with entries 50, 45, 40.

Choose the correct answers.

Which equation models the relationship?

Is there a viable solution when time is 30 minutes?

Answer 1

Equation: w = 50 − 2.5t.

For t = 30: w = 50 − 2.5(30) = −25 quarts, which is not physically viable. The tub is empty at t = 50/2.5 = 20 minutes, so the realistic domain is 0 ≤ t ≤ 20.