PLEASE HELP
Two swimming pools are being drained so that they can be repaired. The two equations below describe the depth of the two pools, d, as a function of time in hours, t.

d=5 - 1/4t. d=7 - 1/3t


Ted wants to know when the two pools will reach the same depth. He solves the system by equating the two equations for d and then solving for t. The solution he finds is t = 24, so he concludes that after 24 hours the pools will be the same depth. Is Ted’s conclusion reasonable? Why or why not?



A. Yes, Ted’s conclusion is reasonable. Setting the two equations equal and solving for t will solve for the time when the two pools are at the same depth.

B. Yes, Ted’s conclusion is reasonable. Substituting into both equations yields the same value for d, which is the depth of the pools.

C. No, Ted’s conclusion is not reasonable. Ted failed to take into account the limits on the domain and range of the two functions.

D. No, Ted’s conclusion is not reasonable. Ted made a math error when he was finding a common denominator when solving for t.