Question

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

Answer 1

A

Explanation:

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 .

The slope () 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 , .

Let's assume the following:

Price per Kilometer, Base Fare, Amount of Kilometers, Total Cost

The total fare would be calculated by the following formula:

Using the given values:

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

Answer 2

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)`.

`(y2-y1)/(x2-x1) = ((10)-(4))/((2)-(0)) = (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.