a. Write and simplity an expicethe profit. b. A large candle costs \( \$ 5 \), and a small candle costs \( \$ 3 \). What is the club's profit? Price: Cost 52. (17P) REASONING Find the difference between the perimeters of the rectangle and the hexagon. Interpret your answer. 53. PUZZLE Add one set of parentheses to the expression \( 7 \cdot x+3+8 \cdot x \) so that it is equivalent to \( 2(9 x+10) \). Chapter 5 Algebraic Expressions and Properties
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- Let \( L \) be the number of large candles sold and \( S \) be the number of small candles sold. - The revenue from large candles is \( 5L \) and from small candles is \( 3S \). - The cost is given as 52. - Profit = Revenue - Cost = \( 5L + 3S - 52 \). Show more…
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Key Concepts
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Candice makes reed baskets in three sizes: small, medium, and large. She sells the small baskets for 5 dollar, medium for 9 dollar, and large for 15 dollar. Each small basket costs her 2 dollar to make; each medium, 4 dollar; and each large, 7 dollar a. Write a polynomial that describes the revenue she receives from the sale of all three baskets. b. Write a polynomial that describes her cost to produce all three baskets. c. Write an expression in simplest form for her net. d. In one day, she sells 6 small, 9 medium, and 3 large baskets. Find her net profit or loss.
Expressions and Polynomials
Additional Applications and Problem Solving
A school sells candy as a fund-raiser for their sports programs. They sell about 5500 candy bars at a profit of $\$ 0.75$ each. Each $\$ 0.50$ increase in the price will increase the profit of each candy bar by $\$ 0.50 .$ However, they will sell about 1000 fewer candy bars. a. What is the profit for this school if the profit is $\$ 0.75$ per candy bar? b. Find an equation for the model of the profit this school makes if they increase the price of each candy bar by $\$ 0.50 x$ times. c. Use your model to determine the profit if the price per candy bar is increased by $\$ 1 .$ d. Use your model to determine the profit if the price per candy bar is increased by $\$ 2 .$ e. What price increase will bring the school the highest profit? Explain.
Quadratic Functions
Solving Equations by Factoring
For each of the following problems, write the corresponding division problem and solve the problem. Determine the best form of the answer: a mixed number, a decimal, a whole number with remainder, or a whole number that is not equal to the quotient. Briefly explain. A. An after school club is going to wash a fence that is 50 feet long. If the club has 8 members, how many feet of fence will each member wash if they split the work equally? B. A party planner needs 30 goody bags for a birthday party. Each goody bag is to contain a yo-yo. Yo-yos are sold in packages of 8, how many packages of yo-yos will the party planner need to buy C. Nathan has $10 to buy posters. Each poster costs $3. How many posters can Nathan buy?
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