Question

Need help ASAP The graph shows the taxi fare, y, in a city, for a distance of x kilometers.

Answer 1

First, find the slope for the line. Choose any 2 points and note their coordinates. I'll take (0,4) and (2,10) as an example. Then you apply your formula, remembering each coordinate comes in the form of $(x,y)$.

$\frac{y2-y1}{x2-x1} = \frac{(10)-(4)}{(2)-(0)} = \frac{6}{2} = 3$

The slope ($m$) is 3.

In this case, the slope represents the price per kilometer.

So, the fare is $3 per kilometer + the base fare, which is the value already present at 0km. According to the graph, when $x=0$, $y=4$.

Let's assume the following:

$p =$ Price per Kilometer, $b =$ Base Fare, $k =$ Amount of Kilometers, $t =$ Total Cost

The total fare would be calculated by the following formula:

$(p*k)+b$

Using the given values:

$p=3,b=4,k=6\\\\t=(3*6)+4\\t=18+4\\t=22$

In conclusion, the total cost for 6km is $22. Option A.