Question

writing and graphing equations in two variables instruction active 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. choose the correct answers. which equation models the relationship? ( w = 50 - 2.5t ) is there a viable solution when time is 30 minutes? options: x no, time will stop at 30 minutes. no, the tub will be empty by then. yes, the tub will contain 25 quarts of water. yes, time continues on forever.

Explanation:

Step1: Substitute t=30 into equation

$w = 50 - 2.5(30)$

Step2: Calculate the value of w

$w = 50 - 75 = -25$

Step3: Analyze viability of result

Water volume cannot be negative, so at t=30, the tub is already empty (it empties when w=0, solve $0=50-2.5t$ → $t=20$ minutes).

Answer:

No, the tub will be empty by then.