Question

Albert has $105 to spend, the prices varying from $80 to $180 worth delivery being one-twentieth of the price. Total cost can be modeled by the function f(c) c representing the price. Domain is:

Answer 1

Domain=[80, 100] ie. both of them inclusive.

Explanation:

Albert has total $105.

Let the cost of a product be c.

Therefore, the total cost of a product after the delivery and all is represented by a function f(c)

f(c)=c+
`(c)/(20)`

f(c)=
`(21c)/(20)`

The domain, of the function is the no. of possible values of c that can satisfy the equation.

Now, lets check the maximum price of the product that Albert can buy.

f(c)=105

`(21c)/(20)`=105

c=$100

As, the minimum price of a product of is $80 , the domain needs to start from here. And it will go on till $100.

Domain=[80, 100]