The topology taxi company charges 2.60 for the first quarter of a mile and 0.36 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven m

The piecewise function for the taxi fare is:

,

Step-by-step explanation:

We must use the following piecewise function:

(i) The Topology Taxi Company charges 2.60 for the first quarter of a mile:

(1)

Where:

- Taxi fare, in monetary units.

- Number of miles driven, in miles.

(ii) And 0.36 for each additional fifth of a mile:

, (2)

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)