Question

A surf instructor has an initial fee of $12 and charges $8
per hour for lessons.
Explain how to determine what the y-intercept is and
where it would be located on the graph.

Answer 1

Given:

A surf instructor has an initial fee of $12 and charges $8  per hour for lessons.

To find:

The y-intercept and its location on the graph.

Solution:

Initial fee = $12

Variable fee = $8 per hour.

Let the total fee be y for x hours. Then,

$y=12+8x$

Put x=0, to find the y-intercept.

$y=12+8(0)$

$y=12+0$

$y=12$

Therefore, the y-intercept is 12.

Table of values for $y=12+8x$,

x        y

0       12

-1       4

Plot (0,12) and (-1,4) on a coordinate plane and connect them by a straight line.

Clearly, the y-intercept is located at (0,12).