Question

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?

A. both x0, y0
B. x0 only
C. y0 only
D. There are no constraints on the system.

Answer 1

The answer to your question is (A).

Answer 2

A. Both
`x\ge0,y\ge 0`

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.