Question

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

Answer 1

c=3/5n+3

Explanation:

Answer 2

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

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-3=(6-3)/(5-0)(x-0)`

`y-3=(3)/(5)(x)`

Adding 3 on both sides, we get

`y=(3)/(5)x+3`

Putting y=C and x=n, we get

`C=(3)/(5)n+3`

Therefore, the required formula is
`C=(3)/(5)n+3`.