Members of a racquetball club pay an annual membership fee. In addition, they pay a fee each time they play racquetball. Last year, Jay played racquetball 85 times and paid the club a total of $1289. Last year, Sammy played racquetball 35 times and paid the club a total of $614. a) Find a linear equation for the amount paid to the club by a member who plays racquetball x times a year. b) What is the annual membership fee at this club? c) What is the fee that is charged each time a member plays racquetball?
Question
Members of a racquetball club pay an annual membership fee. In addition, they pay a fee each time they play racquetball. Last year, Jay played racquetball 85 times and paid the club a total of 614. a) Find a linear equation for the amount paid to the club by a member who plays racquetball x times a year. b) What is the annual membership fee at this club? c) What is the fee that is charged each time a member plays racquetball?
Solution
a) To find a linear equation, we need to find the slope and the y-intercept. The slope is the change in the total cost divided by the change in the number of times they played racquetball. The y-intercept is the annual membership fee.
Let's denote the total cost as y, the number of times they played racquetball as x, the annual membership fee as b (y-intercept), and the fee per game as m (slope).
We have two points from the problem: (85, 1289) from Jay and (35, 614) from Sammy.
First, let's find the slope (m): m = (y2 - y1) / (x2 - x1) = (1289 - 614) / (85 - 35) = 675 / 50 = 13.5
So, the fee per game is $13.5.
b) To find the annual membership fee (b), we can substitute one of the points and the slope into the equation y = mx + b and solve for b.
Let's use Jay's point (85, 1289): 1289 = 13.5 * 85 + b 1289 = 1147.5 + b b = 1289 - 1147.5 = 141.5
So, the annual membership fee is $141.5.
c) As we found in part a), the fee that is charged each time a member plays racquetball is $13.5.
Similar Questions
Question 2 of 10The soccer club has planned a trip to a tournament. The cost of the van is $192. When 2 students who are not members of the club join the trip, the transportation cost per person drops by $3.20. How many soccer club members are going to the tournament?A.12B.−12, 10C.10D.−12
QUESTION TWO (30 marks)A Sports Club has the following transactions for the year ended March 31, 2023.$Refreshment purchases 6,000Refreshment takings 35,000Subscription received for the year 39,000Life membership fee received for the year 30,000Rent and rates 4,500Refreshment stocks as at April 1, 2022 3,000Refreshment stocks as at March 31, 2023 2,000Equipment at cost 40,000Lighting and heating 1,500Donations for the year 2,000Advertising and promotion 2,500Wages and salaries 11,100Cash and bank 37,800Furniture at cost 17,500Accumulated depreciation of Furniture as at April 1, 2022 2,500Accumulated fund as at April 1, 2022 12,900Creditors for refreshment supplies 2,500Additional information needs to be considered:1. Subscription for the year has not yet received as at March 31, 2023: $1,000.2. Provide depreciation for equipment and furniture on straight-line basis. Their usefullives assume 5 years and residual value at the end of useful lives will be $5,000 each.3. Not yet paid wages of $900 as at March 31, 2023.4. Life membership assumes 10 years.Required:Use the above information to prepare:(a) Refreshment Profit and Loss account for the year ended March 31, 2023.(3.5 marks)(b) Income and Expenditure Account for the year ended March 31, 2023. (14 marks)(c) Balance Sheet as at March 31, 2023. (12.5 marks)
Joe went to a shop to buy some Leather and Plastic balls. Leather balls cost Rs 300 each while Plastic balls cost Rs.400 each. Joe spent a total of Rs.3600 on the balls. If he had bought as many Plastic balls as the number of Leather balls he actually bought and vice versa, he would have saved an amount equal to half the cost of one ball of one of the two types. Find the total number of leather balls he actually bought. a. 6 b. 4 c. 3 d. 10
To pay for a $21,600 fishing boat, Rita made a down payment of $4500 and took out a loan for the rest. On the loan, she paid monthly payments of $307.27 for 5 years.(a) What was the total amount Rita ended up paying for the fishing boat (including the down payment and monthly payments)?$(b) How much interest did Rita pay on the loan?
Members of a baseball team raised $1386.50 to go to a tournament. They rented a bus for $1137.50 and budgeted $20.75 per player for meals. Determine the number of players the team can bring to the tournament.Answer
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.