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 (21 , 949) and (35 , 1,075), 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?
A.
$760
B.
$9
C.
$769
D.
$886
To find the flat fee for the annual golf pass, we need to find the y-intercept of the linear model.
First, let's calculate the slope of the linear model using the given points (21, 949) and (35, 1075):
slope = (1075 - 949) / (35 - 21) = 126 / 14 = 9
Now, let's substitute the slope and one of the given points (21, 949) into the equation of a line "y = mx + b" to find the y-intercept (b):
949 = 9 * 21 + b
949 = 189 + b
b = 949 - 189
b = 760
Therefore, the flat fee for the annual golf pass is $760 (option A).