To supplement her income, Ms. McCormick grows lucky bamboo in her backyard garden and sells ceramic pots of bamboo to customers online. She has found that when she decreases the price per pot, the number of pots she sells each month increases. Her monthly revenue can be modeled by the expression p(96−4p), where p is the price Ms. McCormick charges for each pot of bamboo.What does the quantity 96−4p represent in the expression?Choices:(A)the number of pots Ms. McCormick sells each month if she charges p dollars per pot(B)Ms. McCormick's monthly revenue in dollars if she charges p dollars per pot(C)the price per pot in dollars if Ms. McCormick sells p pots of bamboo(D)Ms. McCormick's monthly revenue in dollars if she sells p pots of bamboo
Q. To supplement her income, Ms. McCormick grows lucky bamboo in her backyard garden and sells ceramic pots of bamboo to customers online. She has found that when she decreases the price per pot, the number of pots she sells each month increases. Her monthly revenue can be modeled by the expression p(96−4p), where p is the price Ms. McCormick charges for each pot of bamboo.What does the quantity 96−4p represent in the expression?Choices:(A)the number of pots Ms. McCormick sells each month if she charges p dollars per pot(B)Ms. McCormick's monthly revenue in dollars if she charges p dollars per pot(C)the price per pot in dollars if Ms. McCormick sells p pots of bamboo(D)Ms. McCormick's monthly revenue in dollars if she sells p pots of bamboo
Calculate Total Revenue: Total revenue is calculated by multiplying the price per item by the number of items sold. In the expression p(96−4p), p represents the price per pot.
Determine Number of Pots Sold: The term (96−4p) must represent the number of pots sold, because it is being multiplied by the price per pot, p, to calculate total revenue.
Impact of Price Increase: If we increase the price p, the expression 96−4p decreases, which means fewer pots are sold at higher prices. This matches the scenario described where lowering the price increases the number of pots sold.
Relation between Price and Quantity Sold: Therefore, the quantity 96−4p represents the number of pots Ms. McCormick sells each month if she charges p dollars per pot.
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