Final answer:
Three equivalent expressions to 24k + 12k are 36k, 12k(2 + 1), and 6k(4 + 2). To calculate Cammie's total spending on x pounds of plums and y pounds of oranges, the expression 3x + 2y is used.
Step-by-step explanation:
Equivalent expressions for 24k + 12k can be found by combining like terms or using the distributive property. Here are three equivalent expressions:
- 36k (by simply adding the coefficients 24 and 12)
- 12k(2 + 1) (by factoring out the common factor, which is 12k)
- 6k(4 + 2) (by factoring out the common factor, which is 6k)
For the second part of the question, an expression to determine the total amount Cammie will spend on x pounds of plums at $3 per pound and y pounds of oranges at $2 per pound is given by:
3x + 2y
This expression represents the total cost by multiplying the quantity of each fruit by its price and then adding the results together.