Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $.The florist will break-even after one-dollar decreases.The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is

Select the correct answer from each drop-down menu.An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.Management uses the combined function P to model the daily earnings of the amusement part, where x is the number of $2 increases in the price of a ticket.𝑃⁡(𝑥)=-40⁢𝑥2−100⁢𝑥+27,500Use the given information to complete the sentences.The constant of the polynomial expression represents the in the price of a ticket.The binomial (500−20⁢𝑥) is a factor of the polynomial expression and represents the in the price of a ticket.

John owns a hotdog stand. His profit is represented by with P(x) being profit and x the number of hotdogs sold. What is the most he can earn?

Suppose a granola bar company estimates that its monthly cost is 𝐶(𝑥)=500𝑥2+400𝑥C(x)=500x 2 +400x and its monthly revenue is 𝑅(𝑥)=−0.6𝑥3+800𝑥2−300𝑥+600R(x)=−0.6x 3 +800x 2 −300x+600, where x is in thousands of granola bars sold. The profit is the difference between the revenue and the cost.What is the profit function, P(x)?A.𝑃(𝑥)=−0.6𝑥3+1300𝑥2+100𝑥+600P(x)=−0.6x 3 +1300x 2 +100x+600B.𝑃(𝑥)=0.6𝑥3+300𝑥2−700𝑥+600P(x)=0.6x 3 +300x 2 −700x+600C.𝑃(𝑥)=−0.6𝑥3+300𝑥2−700𝑥+600P(x)=−0.6x 3 +300x 2 −700x+600D.𝑃(𝑥)=0.6𝑥3−300𝑥2+700𝑥−600P(x)=0.6x 3 −300x 2 +700x−600SUBMITarrow_backPREVIOUS

Ava is starting a cake-baking business, and she has just spent $150 for equipment. She figures that each cake will cost $4.50 to make, and she plans to sell her cakes for $12 each.Ava wants to find the number of cakes, c, she must sell to break even. In other words, she wants to know how many cakes she must sell before she has made as much money as she has spent. Which equation can she use?150+4.5c=12cc(150+4.5)=12c4.5c+12c=150150–4.5c=12c4.5c+150=12150c+4.5=12How many cakes must Ava sell before she has made as much money as she has spent?cakesSubmit

Mrs Chen will make a profit which is 12% of the original price, if she sells the necklace at $4144. What will be her profit if she sells the necklace at $4250?