Respuesta :
A) B) We have to find the expression that represents the amount of money the store made.
This is the profit of the store and can be expressed as the revenue (the money that came in from sales) minus the cost of purchasing the items sold.
In this case, the revenue can be calculated as the sum of the sales of each product, which is equal to the price times the number of units sold.
Then, we can write the revenue as:
[tex]\begin{gathered} R=p_k\cdot q_k+p_c\cdot q_c \\ R=(35)(24)+(15)(15) \end{gathered}[/tex]We can now express the profit by substracting the cost ($120) as:
[tex]\begin{gathered} P=R-C \\ P=(24)(35)+(15)(15)-120 \end{gathered}[/tex]NOTE: I reordered the factors so that it matches the expression in the options, which is quantity times price instead of price times quantity, but they are equivalent.
This matches the second option.
C) We can calculate the value as:
[tex]\begin{gathered} P=(24)(35)+(15)(15)-120 \\ P=840+225-120 \\ P=945 \end{gathered}[/tex]Answer:
A) The expression is (24)(35) + (15)(15) - 120
B) This expression represents the difference between the revenue and the cost. The revenue is the sum of the sales of each product, which is equal to the quantity times the price for each one.
C) The value of the expression is 945.
