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the graph shows the cost of some taxi journeys. work out a formula for C in terms of n.

The Graph Shows The Cost Of Some Taxi Journeys Work Out A Formula For C In Terms Of N class=

Sagot :

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]

[tex]y-3=\dfrac{3}{5}(x)[/tex]

Adding 3 on both sides, we get

[tex]y=\dfrac{3}{5}x+3[/tex]

Putting y=C and x=n, we get

[tex]C=\dfrac{3}{5}n+3[/tex]

Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].

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