Question

describing a real - world linear equation
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.

time (t)	quarts of water (w)
2	45
4	40

choose the correct answers.
which equation models the relationship?
is there a viable solution when time is 30 minutes?
options for the equation: t = 2.5 - 50w; t = 50 - 2.5w; w = 2.5 - 50t; w = 50 - 2.5t

Explanation:

Step1: Identify linear equation form

A linear relationship for decreasing quantity follows $w = \text{initial amount} - \text{rate} \times t$.

Step2: Substitute given values

Initial water = 50 quarts, rate = 2.5 quarts/min. So $w = 50 - 2.5t$.

Step3: Test t=30 for viability

Substitute $t=30$ into the equation:
$w = 50 - 2.5(30) = 50 - 75 = -25$
Negative water is not physically possible.

Answer:

1. Correct equation: $w = 50 - 2.5t$
2. No, there is no viable solution when time is 30 minutes.