Question

Assume the cost of a taxi is one dollar per ride and $2.30 per mile what function represents your total cab fare be sure to indicate any domain restrictions.

Answer 1

The total cost of a taxi is given by the sum of a fixed amount of $1.00 per ride and an additional amount of $2.30 per mile driven. Then, the total cost f in function of the total number of miles driven x is given by:

`f(x)=1+2.3x`

Notice that, since there is no sense in considering "negative miles driven" the domain of this function is given by:

`\mleft\lbrace x\in\mathfrak{\Re }\mright|x\ge0\}`

This is equivalent to state "x is a real number greater than or equal to 0"