Question

The owners of a recreation area are filling a small pond with water. Let W be the total amount of water in the pond (in liters). Let T be the total number of minutes that water has been added. Suppose that W=7F+4000 gives W as a function of T during the next 70 minutes.Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.

Answer 1

Given:

`W=7F+400`

The plane can hold 200 gallons of fuel.

To find:

The domain and range.

Step-by-step explanation:

Here, F is the total amount of fuel.

Since W is a function of F.

So, the domain of the function is, the amount of fuel in the aeroplane's tank (in gallons).

The set of all real numbers from 0 to 200.

Here, W is the weight of the plane.

Since the range is the set of output values.

So, the range of the function is, the weight of the aeroplane (in pounds)

The set of all real numbers is from 4000 to 5400.

Final answer:

Domain:

The amount of fuel in the airplane's tank (in gallons).

The set of all real numbers from 0 to 200.

Range:

Weight of the airplane (in pounds)

The set of all real numbers is from 4000 to 5400.