Question

A box of pencils costs $10.The total cost (c) as a function of the number of boxes (b) is expressed as c = f(b) = 10b. What is the domain of this function?

Answer 1

[0,
`\infty`)

Explanation:

We are given that

Cost of pencil box=$10

Given function

c=f(b)=10 b

Where c=Total cost

b=Number of boxes

We have to find the domain of the given function.

The given function is linear function .It is defined for all positive values of b.

Number of boxes is always a whole number.

Therefore, domain of function=Whole number set=[0,
`\infty`)

Answer:[0,
`\infty`)

Answer 2

Domain (b) = {0, 1, 2, 3, 4....}

Set of all whole numbers

Explanation:

Given: A box of pencils costs $10.

Total cost (c) = 10b, where "b" is the number of boxes.

Here c represents the range which is dependent variable and b represents the number of boxes which is independent variable.

For instance, if you buy 10 boxes of pencils, you need to pay = 10(10) = $100

Here we replace b with the number of boxes.

The number of boxes cannot be negative. It will star from 0,1, 2, 3....

Therefore, domain (b) = {0, 1, 2, 3, 4....} which is set of whole numbers.