Question

A freight elevator can carry a maximum cargo weight of 100,000 pounds . A convention center uses one of these elevators to move 2,500 pound containers. The total cargo weight is a function of the number of containers in the freight elevator and can be modeled by the equation f(x)=2500c . What is the domain and range?

Answer 1

Domain: [0, 4]

Range: [0, 100000]

Explanation:

Given the function:

`f(x)=2500c`

Where
`c` is the number of container that can be carried by the freight elevator and

`f(x)` is the total cargo weight.

Domain of any function is defined as the values that can be given as input and

Range of any function is defined as the values that can be of output.

Weight of each container = 2500 pound

Maximum weight that can be carried by the freight elevator = 100,000 pounds

Here, input is the number of containers.

Minimum of which can be 0 and maximum can be
`(100000)/(2500)=4`

So, domain is [0, 4] i.e. any value from {0, 1, 2, 3, 4}

Range is [0, 100000] i.e. any value between 0 and 100000 including both the values.