Question

The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.

Answer 1

Given:

The cost y (in dollars) of renting a segway for x hours is

$y=30x+25$

To find:

The initial fee and the cost per hour.

Solution:

We have,

$y=30x+25$       ...(i)

The slope intercept form of a linear equation is

$y=mx+b$      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

$m=30,b=25$

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.