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

Answer:

Initial Fee = $12, i.e. at duration = 0 hour, is the y-intercept.  This will be on the Y-Axis on the Positive Side.

Step-by-step explanation:

X-Axis represents the duration in hours

Y-Axis represents Total Fee in dollars.

The equation can be written as:

y = mx + c

c is the y-intercept, i.e. Initial Fee = $12.  This will be on the Y-Axis on the Positive Side.

m is the gradient, i.e. charges per hour = $8

∴ y = 8x + 12.

Answer 2

SOLUTION

GIVEN

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

TO DETERMINE

Explain how to determine what the y-intercept is and where it would be located on the graph

EVALUATION

Let x = The number of hours and y = The total cost.

Now it is given that the surf instructor has an initial fee of $ 12 and charges $ 8 per hour for lessons.

So by the given condition the equation obtained is

y = 12 + 8x

Determination of y - intercept :

The equation obtained is

y = 12 + 8x

Which can be rewritten as

y = 8x + 12

Which is of the form y = mx + c

m = Slope of the line = 8

c = y - intercept of the line = 12

Hence the required y - intercept = 12

Graph : Graph of the line is referred to the attachment

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