The y-intercept represents the value of y when x is equal to 0. In this case, the y-intercept would represent the surf instructor's initial fee.
To determine the y-intercept, we need to set x = 0 in the equation.
The equation can be written as y = 8x + 12, where y represents the total cost and x represents the number of hours.
Setting x = 0, we have y = 8(0) + 12.
This simplifies to y = 12.
Therefore, the y-intercept is 12, and it would be located on the y-axis at the point (0, 12) on the graph.
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.
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