cost function

  1. math_celebrity

    The price p of a gym’s membership is $30 for an enrollment fee and $12 per week w to be a member. W

    The price p of a gym’s membership is $30 for an enrollment fee and $12 per week w to be a member. What is the cost to be a member for 5 weeks? Set up the cost function C(w) C(w) = 12w + 30 The problem asks for C(5) C(5) = 12(5) + 30 C(5) = 60 + 30 C(5) = 90
  2. math_celebrity

    The cost of x textbooks if one textbook costs $140

    The cost of x textbooks if one textbook costs $140. Set up a cost function where x is the number of textbooks: C(x) = 140x
  3. math_celebrity

    the cost of x pounds of pork at $4.10 a pound

    the cost of x pounds of pork at $4.10 a pound Set up the cost function for pounds of pork: C(x) = 4.10x
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    A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with

    A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with each ticket that costs $19 per ticket. The Web site charges a fee of $16 for the entire purchase. The family is charged a total of $1132. How many tickets did the family buy? Let t be the number...
  5. math_celebrity

    Bills car rental charges a base fee of 50$ and then $0.20 per mile

    Bills car rental charges a base fee of 50$ and then $0.20 per mile. Set up the cost function C(m) where m is the number of miles driven: C(m) = 50 + 0.20m
  6. math_celebrity

    You have $535 in your wallet and want to buy pizzas that cost $3 each. How much money will you have

    You have $535 in your wallet and want to buy pizzas that cost $3 each. How much money will you have left after buying 178 pizzas? Calculate total cost of pizzas: Cost = 178 * 3 Cost = 534 Determine money leftover Money leftover = Money in Wallet - Cost of pizzas Money leftover = 535 - 534...
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    Write a system of equations to describe the situation below, solve using any method, and fill in the

    Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Hugo is going to send some flowers to his wife. Somerville Florist charges $2 per rose, plus $39 for the vase. Dwaynes Flowers, in contrast, charges $3 per rose and $10 for the vase. If...
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    the cost of x concert tickets if one concert ticket costs $97

    the cost of x concert tickets if one concert ticket costs $97 The cost function C(x), where x is the number of concert tickets is: C(x) = 97x
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    A shipping service charges $0.43 for the first ounce and $0.29 for each additional ounce of package

    A shipping service charges $0.43 for the first ounce and $0.29 for each additional ounce of package weight. Write an equation to represent the price P of shipping a package that weighs x ounces, for any whole number of ounces greater than or equal to 1. Set up the price function P(x) P(x) =...
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    You are purchasing carpeting for an office building. The space to be carpeted is 30 feet by 50 feet.

    You are purchasing carpeting for an office building. The space to be carpeted is 30 feet by 50 feet. Company A charges $2.99 per square foot plus a $200 installation charge. Company B charges $19.99 per square yard plus a $500 installation charge. What is the best deal? Did you notice the word...
  11. math_celebrity

    At a local fitness center, members pay an $8 membership fee and $3 for each aerobics class. Nonmembe

    At a local fitness center, members pay an $8 membership fee and $3 for each aerobics class. Nonmembers pay $5 for each aerobics class. For what number of aerobics classes will the cost for members be equal to nonmembers? Set up two cost equations C(x): Members: C(x) = 8 + 3x Nonmembers: C(x) =...
  12. math_celebrity

    It costs a $20 flat fee to rent a lawn mower, plus $5 a day starting with the first day. Let x repre

    It costs a $20 flat fee to rent a lawn mower, plus $5 a day starting with the first day. Let x represent the number of days rented, so y represents the charge to the user (in dollars) Set up our function: y = 20 + 5x
  13. math_celebrity

    Julia owes 18.20 for the month of November. Her plan costs 9.00 for the first 600 text messages and

    Julia owes 18.20 for the month of November. Her plan costs 9.00 for the first 600 text messages and .10 cents for additional texts. How many texts did she send out? Let m be the number of messages. We have a cost function of: C(m) = 9 + 0.1(m - 600) We are given C(m) = 18.20 18.20 = 9 + 0.1(m...
  14. math_celebrity

    A yoga member ship costs $16 and additional $7 per class. Write a linear equation modeling the cost

    A yoga member ship costs $16 and additional $7 per class. Write a linear equation modeling the cost of a yoga membership? Set up the cost function M(c) for classes (c) M(c) = 16 + 7c
  15. math_celebrity

    A cell phone costs $20 for 400 minutes and $2 for each extra minute. Gina uses 408 minutes. How m

    A cell phone costs $20 for 400 minutes and $2 for each extra minute. Gina uses 408 minutes. How much will it cost? Set up the cost function for minutes (m) if m is greater than or equal to 400 C(m) = 20 + 2(m - 400) For m = 408, we have: C(408) = 20 + 2(408 - 400) C(408) = 20 + 2(8) C(408) = 36
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    A mail courier charges a base fee of $4.95 plus $11.90 per package being delivered. If x represents

    A mail courier charges a base fee of $4.95 plus $11.90 per package being delivered. If x represents the number of packages delivered, which of the following equations could be used to find y, the total cost of mailing packages? Set up the cost function y = C(x) C(x) = 4.95 + 11.90x
  17. math_celebrity

    Martin buys b books at £10 each what is the total cost

    Martin buys b books at £10 each what is the total cost Total Cost = Price * Quantity Total Cost = £10 * b Total Cost = £10b
  18. math_celebrity

    Jim works for his dad and earns $400 every week plus $22 for every chair (c) he sells. Write an equa

    Jim works for his dad and earns $400 every week plus $22 for every chair (c) he sells. Write an equation that can be used to determine jims weekly salary (S) given the number of chairs (c) he sells. S(c) = 400 + 22c
  19. math_celebrity

    At a local fitness center, members pay a $10 membership fee and $3 for each aerobics class. Nonme

    At a local fitness center, members pay a $10 membership fee and $3 for each aerobics class. Nonmembers pay $5 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same? Set up the cost functions where x is the number of aerobics classes...
  20. math_celebrity

    A group of 4 adults and 5 children is visiting an amusement park. Admission is $15 per adult and $9

    A group of 4 adults and 5 children is visiting an amusement park. Admission is $15 per adult and $9 per child. Find the total cost of admission for the group. Set up the cost function for adults and children: C(a, c) = 15a + 9c We want the cost for 4 adults and 5 children C(4, 5) = 15(4) +...
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