Mr. Ballard builds birdhouses in his free time and sells them at a roadside market on the weekends. He notices that when he charges less for the birdhouses he builds, more customers buy his birdhouses. His total revenue in dollars can be modeled by the expression p(120−3p), where p is the price per birdhouse in dollars.What does the quantity 120−3p represent in the expression?Choices:(A) Mr. Ballard's total revenue in dollars if he charges p dollars per birdhouse(B) the number of birdhouses Mr. Ballard sells if he charges p dollars per birdhouse(C) the price per birdhouse in dollars if Mr. Ballard sells p birdhouses(D) Mr. Ballard's total revenue in dollars if he sells p birdhouses
Q. Mr. Ballard builds birdhouses in his free time and sells them at a roadside market on the weekends. He notices that when he charges less for the birdhouses he builds, more customers buy his birdhouses. His total revenue in dollars can be modeled by the expression p(120−3p), where p is the price per birdhouse in dollars.What does the quantity 120−3p represent in the expression?Choices:(A) Mr. Ballard's total revenue in dollars if he charges p dollars per birdhouse(B) the number of birdhouses Mr. Ballard sells if he charges p dollars per birdhouse(C) the price per birdhouse in dollars if Mr. Ballard sells p birdhouses(D) Mr. Ballard's total revenue in dollars if he sells p birdhouses
Calculate Total Revenue: Total revenue is calculated by multiplying the price per item by the number of items sold. In the expression p(120−3p), p represents the price per birdhouse.
Identify Number Sold: The expression (120−3p) must represent the number of birdhouses sold, because it is being multiplied by the price per birdhouse (p) to find total revenue.
Verify with Example: To check, let's say p is $10. Then, the number of birdhouses sold would be 120−3(10)=120−30=90 birdhouses. This makes sense because if Mr. Ballard charges $10 per birdhouse, he would sell 90 birdhouses, and his total revenue would be 10×90=$900.
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