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?

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.

mydood41507 mydood41507 · Answer 2 · 2020-12-11T17:31:22+01:00

mydood41507 mydood41507

11-12-2020

Answer:

The answer is $760

Step-by-step explanation:

First, find the rate of change, or slope, from the two given points.

Next, find the equation for the linear model using the slope and a point.

The initial value is the value of y when x equals 0.

In this case, the initial value is the flat fee for the annual golf pass.

Therefore, the flat fee for the annual golf pass is $760.

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