The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 34 gal of water and is filled at a constant rate of 4 gal/h. The second water tank contains 30 gal of water and is filled at a constant rate of 2 gal/h. Explain. Let x = the number of hours the tanks are filling and let y = the number of gallons in the tank. What are the constraints on the system?

Aboth x0, y0
Bx0 only
Cy0 only
DThere are no constraints on the system.

Verified Answer :

The answer to your question is (A).

Answer:

A. Both \(x\ge0,y\ge 0\)

Step-by-step explanation:

The local zoo is filling two water tanks for the elephant exhibit.

Let us assume that,

x = the number of hours the tanks are filling and

y = the number of gallons in the tank.

Tank one contains 34 gal of water and is filled at a constant rate of 4 gal/h. So the inequality function for this is,

\(y\ge 34+4x\)

Tank two contains 30 gal of water and is filled at a constant rate of 2 gal/h. So the inequality function for this is,

\(y\ge 30+2x\)

As number of hours and number of gallons can not be negative, so

\(x\ge0,y\ge 0\)

will be constraints to the system.