cost function

  1. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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. math_celebrity

    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 +...
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