Question

A taxi driver fixes the rate for a ride as follows: the base fare, f(x) = 4 and fare for x miles, g(x) = x² – 5x. Write a function for the total cost for a ride of x miles.

Answer 1

The function for the total cost for a ride is x² - 5x + 4.

Step-by-step explanation:

Since the base fare is 4, automatically, the minimum fare is 4 regardless of the number of miles.

Based on the number of x miles, the additional fare is expressed by the function x² – 5x.

So, in total, the total cost = base fare + fare for every additional x mile.

`totalcost=basefare+additionalfare`
`totalcost=4+x^2-5x`

Then, arrange the function in terms of their degrees.

`totalcost=x^2-5x+4`

Hence, the function for the total cost for a ride is x² - 5x + 4. (Option 4)