cost function | MathCelebrity Forum

# cost function

1. ### 3 per ride r plus \$10 to get into the park

3 per ride r plus \$10 to get into the park Cost function C(r) where r is rides: C(r) = Rate per ride * number of rides + admission cost C(r) = 3r + 10
2. ### It costs \$4.25 per game at the bowling alley plus \$1.90 to rent shoes. if Wayne has \$20, how many ga

It costs \$4.25 per game at the bowling alley plus \$1.90 to rent shoes. if Wayne has \$20, how many games can he Bowl? Let g be the number of games. The cost for Wayne is: C(g) = Cost per game * number of games + shoe rental 4.25g + 1.90 = C(g) We're given C(g) = 20, so we have: 4.25g + 1.90 =...
3. ### A school spent \$150 on advertising for a breakfast fundraiser. Each plate of food was sold for \$8.00

A school spent \$150 on advertising for a breakfast fundraiser. Each plate of food was sold for \$8.00 but cost the school \$2.00 to prepare. After all expenses were paid, the school raised \$2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold? Set up...
4. ### The cost of a taxi ride is \$1.2 for the first mile and \$0.85 for each additional mile or part thereo

The cost of a taxi ride is \$1.2 for the first mile and \$0.85 for each additional mile or part thereof. Find the maximum distance we can ride if we have \$20.75. We set up the cost function C(m) where m is the number of miles: C(m) = Cost per mile after first mile * m + Cost of first mile C(m) =...
5. ### The entrance fee to the national park is \$30. A campsite fee is \$15 per night. Write an equation to

The entrance fee to the national park is \$30. A campsite fee is \$15 per night. Write an equation to represent the situation. Let n be the number of nights. We have a cost (C) of: C = Cost per night * n + entrance fee C = 15n + 50
6. ### Bike rental shop A charges \$20 per kilometre travelled with no additional fee. Bike rental shop B ch

Bike rental shop A charges \$20 per kilometre travelled with no additional fee. Bike rental shop B charges only \$8 per kilometre travelled, but has a starting charge of \$35. If Bob plans to travel 7km by bike, which rental shop should he choose for a better price Shop A Cost function C(k) where...
7. ### Cassidy is renting a bicycle on the boardwalk. The rental costs a flat fee of \$10 plus an additional

Cassidy is renting a bicycle on the boardwalk. The rental costs a flat fee of \$10 plus an additional \$7 per hour. Cassidy paid \$45 to rent a bicycle. We set up the cost equation C(h) where h is the number of hours of rental: C(h) = hourly rental rate * h + Flat Fee C(h) = 7h + 10 We're told...
8. ### A company has a fixed cost of \$34,000 and a production cost of \$6 for each unit it manufactures. A u

A company has a fixed cost of \$34,000 and a production cost of \$6 for each unit it manufactures. A unit sells for \$15 Set up the cost function C(u) where u is the number of units is: C(u) = Cost per unit * u + Fixed Cost C(u) = 6u + 34000 Set up the revenue function R(u) where u is the number...
9. ### At a festival, Cherly bought 5 ride tokens and 9 game tokens. She spent \$59. Let x represent the cos

At a festival, Cherly bought 5 ride tokens and 9 game tokens. She spent \$59. Let x represent the cost of ride tokens and let y represent the cost of game tokens. Write an equation in standard for that can be used to determine how much each type of token costs. We know that: Token Cost + Game...
10. ### A pound of chocolate costs 6 dollars. Greg buys p pounds. Write an equation to represent the total c

A pound of chocolate costs 6 dollars. Greg buys p pounds. Write an equation to represent the total cost c that Greg pays Since cost = price * quantity, we have: c = 6p
11. ### A tire repair shop charges \$5 for tool cost and \$2 for every minute the worker spends on the repair.

A tire repair shop charges \$5 for tool cost and \$2 for every minute the worker spends on the repair. A) Write an equation of the total cost of repair, \$y, in terms of a total of x minutes of repair. y = Variable Cost + Fixed Cost y = Cost per minute of repair * minutes of repair + Tool Cost y =...
12. ### You went to the State Fair and spent \$20. If cotton candy costs \$2 and a soda pop costs \$1. Which eq

You went to the State Fair and spent \$20. If cotton candy costs \$2 and a soda pop costs \$1. Which equation represents the relation between the number of cotton candy (c) and soda pops (s) you can buy? Our total cost for 20 at the state fair is: Cost of Cotton Candy + Cost of Soda = 20 We know...
13. ### Dunder Mifflin will print business cards for \$0.10 each plus setup charge of \$15. Werham Hogg offers

Dunder Mifflin will print business cards for \$0.10 each plus setup charge of \$15. Werham Hogg offers business cards for \$0.15 each with a setup charge of \$10. What numbers of business cards cost the same from either company Declare variables: Let b be the number of business cards. Set up the...
14. ### The volleyball team and the wrestling team at Clarksville High School are having a joint car wash t

The volleyball team and the wrestling team at Clarksville High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets \$4 per car. In addition, they have already brought in \$81 from past fundraisers. The wrestling team has raised \$85 in the past...
15. ### A cell phone provider is offering an unlimited data plan for \$70 per month or a 5 GB plan for \$55 pe

A cell phone provider is offering an unlimited data plan for \$70 per month or a 5 GB plan for \$55 per month. However, if you go over your 5 GB of data in a month, you have to pay an extra \$10 for each GB. How many GB would be used to make both plans cost the same? Let g be the number of GB...
16. ### A tow truck charges a service fee of \$50 and an additional fee of \$1.75 per mile. What distance was

A tow truck charges a service fee of \$50 and an additional fee of \$1.75 per mile. What distance was Marcos car towed if he received a bill for \$71 Set up a cost equation C(m) where m is the number of miles: C(m) = Cost per mile * m + Service Fee Plugging in the service fee of 50 and cost per...
17. ### You buy 4 magazines for \$5 each and 2 drinks for \$4 each

You buy 4 magazines for \$5 each and 2 drinks for \$4 each Calculate total cost: Since cost = price * quantity, we have: Total cost = \$5 * 4 magazines + \$4 * 2 drinks Total cost = 20 + 8 Total Cost = 28
18. ### You work for a remote manufacturing plant and have been asked to provide some data about the cost of

You work for a remote manufacturing plant and have been asked to provide some data about the cost of specific amounts of remote each remote, r, costs \$3 to make, in addition to \$2000 for labor. Write an expression to represent the total cost of manufacturing a remote. Then, use the expression to...
19. ### A gym membership has a \$50 joining fee plus charges \$17 a month for m months

A gym membership has a \$50 joining fee plus charges \$17 a month for m months Build a cost equation C(m) where m is the number of months of membership. C(m) = Variable Cost * variable units + Fixed Cost C(m) = Months of membership * m + Joining Fee Plugging in our numbers and we get: C(m) = 17m...
20. ### You have \$20 to spend on a taxi fare. The ride costs \$5 plus \$2.50 per kilometer.

You have \$20 to spend on a taxi fare. The ride costs \$5 plus \$2.50 per kilometer. Let k be the number of kilometers. Total Cost = Cost per kilometer * number of kilometers + Fixed Cost With k for kilometers, 2.5 as cost per kilometer, and 5 as fixed cost, and 20 on total cost, we have: 2.5k +...