Geoff purchased an annual golf pass for a municipal golf course in his town. he pays a flat fee for the annual golf pass and then each round he plays he must pay the additional cost for a golf cart.

a linear model of this situation contains the values (30, 1,181) and (44, 1,363), where x represents the number of times he plays each year, and y equals the total amount he spends on golf in one year.

what is the flat fee for the annual golf pass?

$791

Step-by-step explanation:

Find the equation of the line passing thru  (30, 1,181) and (44, 1,363),   The y-intercept of this equation will answer this question:  it represents the annual golf pass.

Moving from (30, 1,181) to (44, 1,363), we see x increasing by 14 from 30 to 44 and y increasing by  182   from 1181 to 1363.

Thus, the slope of this line is m = rise / run = 182 / 14 = 13.

Subst. the knowns (30, 1,181) and m = 13 into the standard equation for a straight line in slope-intercept form, y = mx + b, we get:

1181 = 13(30) + b.  Then 1181 - 390 = 791.

The flat fee is $791, payable at the beginning of each year.

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