Question

1. Brian wins $280 by betting $8 on a single number on a roulette table at a Las Vegas casino. The payout on a winning bet, W, varies directly as the amount of the bet, B.

a. Write W as a function of B.

b. Amy bet $20 on the same number as Brian. How much did she win?

c. Anne won $455 by betting on the same number. How much did she bet?

2. Cyrus bought 200 shares of stock in the Aloha Amusement Company and earned $75 in dividends for the year. The dividends earned varies directly to the number of shares owned.

a. Keala owns 150 shares of stock. How much did he earn in dividends?

b. Leah owns 500 shares of stock. How much did she earn in dividends?

c. Jamie earned $225 in dividends. How many shares does she own?

3. The Hawaiian Regent Hotel hosts many wedding receptions. Their most popular banquet menu is the Hawaiian Buffet, which features kalua pig, steamed mahi mahi, lomi salmon, chicken long rice, poi, rice, a salad bar, a dessert bar, and a no-host bar. They charge $30 per person, and a 15% gratuity is added to the bill.

a. How much would be charged if there are 200 people at a reception?

b. How much would be charged if there are 100 people at a reception?

c. Does the total bill, T, vary directly with the number of people, n, at the reception? If yes, write T as a function of n.

4. The manger of the Hula Hut Bar knows that the average amount he needs each customer to spend on a given night to break even varies inversely with the number of customers he has that night. If he has 50 customers, he needs them to spend an average of $12 each to break even. How much does he need each customer to spend on average if he only has 30 customers?

5. A textbook author's royalties vary jointly with the wholesale price of his book and the number of copies sold. If the wholesale price of his book is $50 and 1000 copies are sold, he will receive $7500 in royalties. If the wholesale price is raised to $75, only 500 copies will be sold. How much will he receive in royalties?

6. 808cleanups.org organizes regular cleanups of Hawaii's beaches. The organization finds that the amount of trash that it can collect on a given day varies jointly as the number of volunteers it has and the amount of time spent. With 25 volunteers, it collects 400 pounds of trash in two hours. How much trash can it collect if it plans a four hour cleanup with 30 volunteers?

Thank you!

Answer 1

I can't answer all questions as per