Question

A public golf course charges a $700 annual fee to belong to its club. Members of the club pay $20 to play a round of golf. The equation that gives the cost (y) to belong to the club and to pay x rounds of golf per year is y= 700+20x. a. Find the y-intercept of this equation. b. Find the x-intercept in the context of this problem. c. Find the total cost for a club member who plays 30 rounds of golf.

Answer 1

a. The y-intercept is 700. b. The x-intercept is -35. c. The total cost for a club member who plays 30 rounds of golf is $1300.

Step-by-step explanation:

a. To find the y-intercept of the equation, we need to determine the value of y when x = 0. Substituting x = 0 into the equation y = 700 + 20x, we get y = 700 + 20(0) = 700. Therefore, the y-intercept is 700.

b. To find the x-intercept in the context of this problem, we need to determine the value of x when y = 0. Substituting y = 0 into the equation y = 700 + 20x, we get 0 = 700 + 20x. Solving for x, we get x = -35. Therefore, the x-intercept is -35.

c. To find the total cost for a club member who plays 30 rounds of golf, we substitute x = 30 into the equation y = 700 + 20x. Calculating, we get y = 700 + 20(30) = 700 + 600 = 1300. Therefore, the total cost for a club member who plays 30 rounds of golf is $1300.