Question

A taxi driver from a certain company charges $ 150 for stopping and loading passengers and then $ 30 for every kilometer traveled.

a) Determine the linear function that relates the fare and the kilometers
tours.
b) How much should a person who travels 20km pay?

Let x be the number of kilometers traveled by a person in the taxi.

Answer 1

a) linear function = 150 + 30x represents 1km

and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into

3(5+1x)

b) y = 2/3x + 225

Can be factored from 2/3 (30x+75) and simplified to 2/3(3x+15/2)

Explanation:

if 150 stop and 30 for each mile

we show zero on each axis and show the y intercept at 150

The X axis should determine time or distance travelled

So if showing distance we show miles in 10,20,30,40,

and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240 for the data for the y axis/

Therefore 20k is 2/3 km and we can show 2/3 as our multiple.

2/3 of 225 is 150 to find we flip 3/2 x 150 = 225

y = 2/3 ( 30x + 225) and we have our equation for b

y = 2/3x + 225