Question

If you rent a car for one day and drive it for 100 miles the cost is 40 dollars if you drive it 220 miles the cost is 46 dollars what is the linear equation for this

Answer 1

`y = (1)/(20)x + 35`

Explanation:

Let y = cost.

Let x = number of miles.

We have two (x, y) points: (100, 40) and (220, 46).

Now we find the equation of the line that passes through those two points using the two-point form of the equation of a line.

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

`y - 40 = (46 - 40)/(220 - 100)(x - 100)`

`y - 40 = (6)/(120)(x - 100)`

`y - 40 = (1)/(20)(x - 100)`

`y - 40 = (1)/(20)x - 5`

`y = (1)/(20)x + 35`