Ataxi company charges $4.00 for the first mile (or part of a mile) and 40 cents for each succeeding tenth of a mile (or part). express the cost c (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0 < x ≤ 2.

See below

Step-by-step explanation:

Since it charges $4.00 for the first mile or part of the first mile. If the taxi has traveled 0.5 miles it will charge 4.00, so any travel between 0 and 1 mile (including 1 mile) costs 4.00. and each tenth of a mile or a part (0.1 mile) costs 40 cents, meaning 0.04 miles will cost 40 cents too.

For example is a travel is 1.24 miles,

First mile = 4.00

so you still have to pay the additional 0.24 miles,

0.2 miles costs 40*2 cents = 80 cents

and the additional 0.04 miles are considered as another tenth, another 40 cents.

Total = 5.20 cents

Here's one way of defining the function.

Step-by-step explanation:

A piecewise-defined function consists of two or more equations, each of which is valid for some interval.

Your function will start at $4.00 for the first mile and then increase in $0.40 steps for each 0.1 mi to a maximum of $8.00.

[[x]] means the greatest integer less than or equal to x.

In this function [[x]] = 1.

A graph of your function is shown below.

452,489 to the nearest thousand is 452,000